Khrypchenko, Mykola; Siciliano, Salvatore Identities and derived lengths of finitary incidence algebras and their group of units. (English) Zbl 07808432 Commun. Algebra 52, No. 2, 916-922 (2024). Reviewer: Lucio Centrone (Bari) MSC: 16S50 16R10 17B60 PDFBibTeX XMLCite \textit{M. Khrypchenko} and \textit{S. Siciliano}, Commun. Algebra 52, No. 2, 916--922 (2024; Zbl 07808432) Full Text: DOI arXiv
Siddeeque, Mohammad Aslam; Shikeh, Abbas Hussain On the characterization of generalized \((m, n)\)-Jordan \(*\)-derivations in prime rings. (English) Zbl 07803155 Georgian Math. J. 31, No. 1, 139-148 (2024). MSC: 16W20 16W25 16R60 16N60 16W10 16R50 PDFBibTeX XMLCite \textit{M. A. Siddeeque} and \textit{A. H. Shikeh}, Georgian Math. J. 31, No. 1, 139--148 (2024; Zbl 07803155) Full Text: DOI
ur Rehman, Nadeem; Nisar, Junaid; Raza, Mohd Arif An identity with generalized skew derivations on Lie ideals. (English) Zbl 07797028 Rend. Circ. Mat. Palermo (2) 73, No. 1, 455-463 (2024). Reviewer: Puguh Wahyu Prasetyo (Yogyakarta) MSC: 16W10 16N60 16W25 PDFBibTeX XMLCite \textit{N. ur Rehman} et al., Rend. Circ. Mat. Palermo (2) 73, No. 1, 455--463 (2024; Zbl 07797028) Full Text: DOI
Cruz, J. P.; Vieira, A. C. Central polynomials of the second-order matrix algebra with graded involution. (English) Zbl 07796394 J. Algebra 639, 574-595 (2024). MSC: 16R50 16W10 16W50 PDFBibTeX XMLCite \textit{J. P. Cruz} and \textit{A. C. Vieira}, J. Algebra 639, 574--595 (2024; Zbl 07796394) Full Text: DOI
Kitchin, Andrew P. Derivations of quantum and involution generalized Weyl algebras. (English) Zbl 07793931 J. Algebra Appl. 23, No. 4, Article ID 2450076, 21 p. (2024). MSC: 16W25 16S34 16R99 PDFBibTeX XMLCite \textit{A. P. Kitchin}, J. Algebra Appl. 23, No. 4, Article ID 2450076, 21 p. (2024; Zbl 07793931) Full Text: DOI arXiv
Bezushchak, Oksana; Petravchuk, Anatoliy; Zelmanov, Efim Automorphisms and derivations of affine commutative and PI-algebras. (English) Zbl 07789118 Trans. Am. Math. Soc. 377, No. 2, 1335-1356 (2024). MSC: 13N15 16R99 16W20 16R40 16W25 17B40 17B66 PDFBibTeX XMLCite \textit{O. Bezushchak} et al., Trans. Am. Math. Soc. 377, No. 2, 1335--1356 (2024; Zbl 07789118) Full Text: DOI arXiv
Lyubimtsev, Oleg; Tuganbaev, Askar On Centrally Essential Rings. arXiv:2401.12510 Preprint, arXiv:2401.12510 [math.RA] (2024). MSC: 16D25 16R99 BibTeX Cite \textit{O. Lyubimtsev} and \textit{A. Tuganbaev}, ``On Centrally Essential Rings'', Preprint, arXiv:2401.12510 [math.RA] (2024) Full Text: arXiv OA License
Kislitsin, A. V. On simple finite-dimensional algebras with infinite basis of identities. (English. Russian original) Zbl 07820458 Math. Notes 114, No. 5, 845-849 (2023); translation from Mat. Zametki 114, No. 5, 753-758 (2023). MSC: 17Axx 16Rxx 17Bxx PDFBibTeX XMLCite \textit{A. V. Kislitsin}, Math. Notes 114, No. 5, 845--849 (2023; Zbl 07820458); translation from Mat. Zametki 114, No. 5, 753--758 (2023) Full Text: DOI
Dudin, il’ya Vyacheslavovich; Krylov, Petr Andreevich Tensor product of incidence algebras and group algebras. (Russian. English summary) Zbl 07795514 Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2023, No. 84, 5-13 (2023). MSC: 16R99 PDFBibTeX XMLCite \textit{i. V. Dudin} and \textit{P. A. Krylov}, Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2023, No. 84, 5--13 (2023; Zbl 07795514) Full Text: DOI MNR
Brešar, Matej Functional identities and their applications. (English) Zbl 07787069 Bull. Math. Sci. 13, No. 3, Article ID 2330002, 73 p. (2023). MSC: 16R60 15A86 16N60 16R20 16R50 16S50 16S85 16W10 16W20 16W25 16W50 17B40 17B60 17C50 PDFBibTeX XMLCite \textit{M. Brešar}, Bull. Math. Sci. 13, No. 3, Article ID 2330002, 73 p. (2023; Zbl 07787069) Full Text: DOI arXiv
Fagundes, Pedro; Koshlukov, Plamen On sums of gr-PI algebras. (English) Zbl 07740074 Linear Algebra Appl. 677, 200-220 (2023). Reviewer: Allan Berele (Chicago) MSC: 16R50 16W50 16R99 PDFBibTeX XMLCite \textit{P. Fagundes} and \textit{P. Koshlukov}, Linear Algebra Appl. 677, 200--220 (2023; Zbl 07740074) Full Text: DOI arXiv
Aristov, O. Yu. When is a completion of the universal enveloping algebra a Banach PI-algebra? (English) Zbl 07731660 Bull. Aust. Math. Soc. 107, No. 3, 493-501 (2023). MSC: 47L10 16R99 16S30 47B40 PDFBibTeX XMLCite \textit{O. Yu. Aristov}, Bull. Aust. Math. Soc. 107, No. 3, 493--501 (2023; Zbl 07731660) Full Text: DOI arXiv
Bera, Sanu; Mukherjee, Snehashis PI degree of quantized Weyl algebras. (English) Zbl 07715956 Proc. Indian Acad. Sci., Math. Sci. 133, No. 2, Paper No. 18, 9 p. (2023). MSC: 17B37 16R99 81R50 PDFBibTeX XMLCite \textit{S. Bera} and \textit{S. Mukherjee}, Proc. Indian Acad. Sci., Math. Sci. 133, No. 2, Paper No. 18, 9 p. (2023; Zbl 07715956) Full Text: DOI
Oliveira, L. M. C.; dos Santos, R. B.; Vieira, A. C. Varieties of group graded algebras with graded involution of almost polynomial growth. (English) Zbl 07707054 Algebr. Represent. Theory 26, No. 3, 663-677 (2023). Reviewer: Lucio Centrone (Bari) MSC: 16R10 16R50 16W10 16W50 16P90 PDFBibTeX XMLCite \textit{L. M. C. Oliveira} et al., Algebr. Represent. Theory 26, No. 3, 663--677 (2023; Zbl 07707054) Full Text: DOI
Blachar, Guy; Rowen, Louis H.; Vishne, Uzi Identities of the algebra \(\mathbb{O}\otimes\mathbb{O}\). (English) Zbl 1523.17004 Leroy, A. (ed.) et al., Algebra and coding theory. Virtual conference in honor of Tariq Rizvi. Noncommutative rings and their applications VII, Université d’Artois, Lens, France, July 5–7, 2021. Virtual conference on quadratic forms, rings and codes, Université d’Artois, Lens, France, July 8, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 785, 35-45 (2023). Reviewer: Alexei Kanel-Belov (Ramat-Gan) MSC: 17A30 17D05 16R99 PDFBibTeX XMLCite \textit{G. Blachar} et al., Contemp. Math. 785, 35--45 (2023; Zbl 1523.17004) Full Text: DOI
Centrone, Lucio; Zargeh, Chia Varieties of null-filiform Leibniz algebras under the action of Hopf algebras. (English) Zbl 07679247 Algebr. Represent. Theory 26, No. 2, 631-648 (2023). Reviewer: Serban Raianu (Torrance) MSC: 16R10 16R99 16T05 17A32 17A36 20C30 PDFBibTeX XMLCite \textit{L. Centrone} and \textit{C. Zargeh}, Algebr. Represent. Theory 26, No. 2, 631--648 (2023; Zbl 07679247) Full Text: DOI
Siddeeque, Mohammad Aslam; Khan, Nazim; Abdullah, Ali Ahmed Weak Jordan \(*\)-derivations of prime rings. (English) Zbl 07667259 J. Algebra Appl. 22, No. 5, Article ID 2350105, 34 p. (2023). MSC: 16W20 16W25 16R60 16N60 16W10 16R50 PDFBibTeX XMLCite \textit{M. A. Siddeeque} et al., J. Algebra Appl. 22, No. 5, Article ID 2350105, 34 p. (2023; Zbl 07667259) Full Text: DOI
Nardozza, Vincenzo Differential polynomial identities of upper triangular matrices of size three. (English) Zbl 1523.16027 Linear Algebra Appl. 663, 142-177 (2023). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R50 16W25 17B60 PDFBibTeX XMLCite \textit{V. Nardozza}, Linear Algebra Appl. 663, 142--177 (2023; Zbl 1523.16027) Full Text: DOI
Centrone, Lucio; Castilho de Mello, Thiago Images of graded polynomials on matrix algebras. (English) Zbl 1516.16018 J. Algebra 614, 650-669 (2023). Reviewer: Victor Petrogradsky (Brasília) MSC: 16R50 16W50 16R99 16R10 PDFBibTeX XMLCite \textit{L. Centrone} and \textit{T. Castilho de Mello}, J. Algebra 614, 650--669 (2023; Zbl 1516.16018) Full Text: DOI arXiv
Guimarães, Alan de Araújo; Koshlukov, Plamen Automorphisms and superalgebra structures on the Grassmann algebra. (English) Zbl 1528.16037 J. Pure Appl. Algebra 227, No. 1, Article ID 107166, 20 p. (2023). Reviewer: Vesselin Drensky (Sofia) MSC: 16W55 16W50 15A75 16R50 PDFBibTeX XMLCite \textit{A. de A. Guimarães} and \textit{P. Koshlukov}, J. Pure Appl. Algebra 227, No. 1, Article ID 107166, 20 p. (2023; Zbl 1528.16037) Full Text: DOI arXiv
Tuganbaev, Askar On Rings over Which All Modules Are Direct Sums of Distributive Modules. arXiv:2307.09450 Preprint, arXiv:2307.09450 [math.RA] (2023). MSC: 16D25 16R99 BibTeX Cite \textit{A. Tuganbaev}, ``On Rings over Which All Modules Are Direct Sums of Distributive Modules'', Preprint, arXiv:2307.09450 [math.RA] (2023) Full Text: arXiv OA License
Bao, Y. -H.; Xu, J. -N.; Ye, Y.; Zhang, J. J.; Zhang, Y. -F. Ideals of the associative algebra operad. arXiv:2307.07669 Preprint, arXiv:2307.07669 [math.RA] (2023). MSC: 16R10 16R99 18M60 BibTeX Cite \textit{Y. H. Bao} et al., ``Ideals of the associative algebra operad'', Preprint, arXiv:2307.07669 [math.RA] (2023) Full Text: arXiv OA License
Krylov, Piotr; Tuganbaev, Askar Formal Matrix Rings: Isomorphism Problem. arXiv:2301.03219 Preprint, arXiv:2301.03219 [math.RA] (2023). MSC: 16R99 16D10 BibTeX Cite \textit{P. Krylov} and \textit{A. Tuganbaev}, ``Formal Matrix Rings: Isomorphism Problem'', Preprint, arXiv:2301.03219 [math.RA] (2023) Full Text: arXiv OA License
Centrone, Lucio; Diniz, Diogo; Castilho de Mello, Thiago Graded monomial identities and almost non-degenerate gradings on matrices. (English) Zbl 1510.16022 Linear Algebra Appl. 653, 246-265 (2022). Reviewer: Alexei Kanel-Belov (Ramat-Gan) MSC: 16R50 16W50 16R99 16R10 PDFBibTeX XMLCite \textit{L. Centrone} et al., Linear Algebra Appl. 653, 246--265 (2022; Zbl 1510.16022) Full Text: DOI arXiv
Martino, Fabrizio On central polynomials and codimension growth. (English) Zbl 1510.16021 Turk. J. Math. 46, No. 5, SI-2, 1965-1974 (2022). Reviewer: Alexei Kanel-Belov (Ramat-Gan) MSC: 16R10 16W10 16W50 16P90 PDFBibTeX XMLCite \textit{F. Martino}, Turk. J. Math. 46, No. 5, 1965--1974 (2022; Zbl 1510.16021) Full Text: DOI
Cruz, J. P.; dos Santos, R. B.; Vieira, A. C. Identities and cocharacters of the algebra of \(3 \times 3\) matrices with non-trivial grading and transpose graded involution. (English) Zbl 1514.16022 Linear Algebra Appl. 652, 173-195 (2022). MSC: 16R50 16W10 16W50 PDFBibTeX XMLCite \textit{J. P. Cruz} et al., Linear Algebra Appl. 652, 173--195 (2022; Zbl 1514.16022) Full Text: DOI
Sandhu, Gurninder S.; Ali, Shakir Idempotent values of commutators involving generalized derivations. (English) Zbl 07553250 J. Sib. Fed. Univ., Math. Phys. 15, No. 3, 356-365 (2022). MSC: 16Wxx 16Nxx 16Rxx PDFBibTeX XMLCite \textit{G. S. Sandhu} and \textit{S. Ali}, J. Sib. Fed. Univ., Math. Phys. 15, No. 3, 356--365 (2022; Zbl 07553250) Full Text: DOI MNR
Bien, M. H.; Ramezan-Nassab, M. Additive mappings and identities on unit groups of algebraic algebras. (English) Zbl 1508.16027 J. Algebra Appl. 21, No. 6, Article ID 2250116, 9 p. (2022). Reviewer: Allan Berele (Chicago) MSC: 16R60 16S34 16U60 16W10 PDFBibTeX XMLCite \textit{M. H. Bien} and \textit{M. Ramezan-Nassab}, J. Algebra Appl. 21, No. 6, Article ID 2250116, 9 p. (2022; Zbl 1508.16027) Full Text: DOI
Larsen, Michael; Shalev, Aner Residually finite dimensional algebras and polynomial almost identities. (English) Zbl 1491.17002 J. Algebra Appl. 21, No. 2, Article ID 2250038, 9 p. (2022). Reviewer: Plamen Koshlukov (Campinas) MSC: 17A30 17B01 16R99 PDFBibTeX XMLCite \textit{M. Larsen} and \textit{A. Shalev}, J. Algebra Appl. 21, No. 2, Article ID 2250038, 9 p. (2022; Zbl 1491.17002) Full Text: DOI arXiv
Greenfeld, Be’eri First-order rigidity of rings satisfying polynomial identities. (English) Zbl 1497.16022 Ann. Pure Appl. Logic 173, No. 6, Article ID 103109, 8 p. (2022). Reviewer: Alexei Kanel-Belov (Ramat-Gan) MSC: 16P40 03C68 16R30 16R99 16R20 PDFBibTeX XMLCite \textit{B. Greenfeld}, Ann. Pure Appl. Logic 173, No. 6, Article ID 103109, 8 p. (2022; Zbl 1497.16022) Full Text: DOI
Di Vincenzo, Onofrio M.; Nardozza, Vincenzo Differential polynomial identities of upper triangular matrices under the action of the two-dimensional metabelian Lie algebra. (English) Zbl 1523.16026 Algebr. Represent. Theory 25, No. 1, 187-209 (2022). Reviewer: Allan Berele (Chicago) MSC: 16R50 16W25 17B60 PDFBibTeX XMLCite \textit{O. M. Di Vincenzo} and \textit{V. Nardozza}, Algebr. Represent. Theory 25, No. 1, 187--209 (2022; Zbl 1523.16026) Full Text: DOI
Martino, Fabrizio; Rizzo, Carla Growth of central polynomials of algebras with involution. (English) Zbl 1494.16025 Trans. Am. Math. Soc. 375, No. 1, 429-453 (2022). Reviewer: Vesselin Drensky (Sofia) MSC: 16R50 16R10 16W10 16P90 PDFBibTeX XMLCite \textit{F. Martino} and \textit{C. Rizzo}, Trans. Am. Math. Soc. 375, No. 1, 429--453 (2022; Zbl 1494.16025) Full Text: DOI
Morais, Pedro; da Silva Souza, Manuela The algebra of \(2 \times 2\) upper triangular matrices as a commutative algebra: gradings, graded polynomial identities and Specht property. (English) Zbl 1496.17024 J. Algebra 593, 217-234 (2022). Reviewer: Plamen Koshlukov (Campinas) MSC: 17C50 16R10 13A99 PDFBibTeX XMLCite \textit{P. Morais} and \textit{M. da Silva Souza}, J. Algebra 593, 217--234 (2022; Zbl 1496.17024) Full Text: DOI
Krylov, Piotr; Tuganbaev, Askar On Realization and Isomorphism Problems for Formal Matrix Rings. arXiv:2211.02957 Preprint, arXiv:2211.02957 [math.RA] (2022). MSC: 16R99 16D10 BibTeX Cite \textit{P. Krylov} and \textit{A. Tuganbaev}, ``On Realization and Isomorphism Problems for Formal Matrix Rings'', Preprint, arXiv:2211.02957 [math.RA] (2022) Full Text: arXiv OA License
Siddeeque, Mohammad Aslam; Abdullah, Ali Ahmed Characterization of \(\ast\)-semimultipliers in the prime rings. (English) Zbl 1493.16022 Palest. J. Math. 10, No. 2, 784-801 (2021). MSC: 16R60 16W25 16N60 PDFBibTeX XMLCite \textit{M. A. Siddeeque} and \textit{A. A. Abdullah}, Palest. J. Math. 10, No. 2, 784--801 (2021; Zbl 1493.16022) Full Text: Link
Gardner, Barry J. Steiner triple algebras. (English) Zbl 1495.17001 Acta Math. Univ. Comen., New Ser. 90, No. 1, 27-42 (2021). Reviewer: Charles J. Colbourn (Tempe) MSC: 17A01 05B07 16R99 16S99 17D10 PDFBibTeX XMLCite \textit{B. J. Gardner}, Acta Math. Univ. Comen., New Ser. 90, No. 1, 27--42 (2021; Zbl 1495.17001) Full Text: Link
Drensky, Vesselin Graded algebras, algebraic functions, planar trees, and elliptic integrals. (English) Zbl 1494.16044 Di Vincenzo, Onofrio Mario (ed.) et al., Polynomial identities in algebras. Proceedings of the INDAM workshop, Roma, Italy, September 16–20, 2019. Cham: Springer. Springer INdAM Ser. 44, 157-194 (2021). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 16W50 16R10 16S30 17A01 17B70 PDFBibTeX XMLCite \textit{V. Drensky}, Springer INdAM Ser. 44, 157--194 (2021; Zbl 1494.16044) Full Text: DOI arXiv
Ramezan-Nassab, M.; Bien, M. H.; Akbari-Sehat, M. Algebras whose units satisfy a \(*\)-Laurent polynomial identity. (English) Zbl 1502.16021 Arch. Math. 117, No. 6, 617-630 (2021). MSC: 16R50 16S34 16U60 16W10 PDFBibTeX XMLCite \textit{M. Ramezan-Nassab} et al., Arch. Math. 117, No. 6, 617--630 (2021; Zbl 1502.16021) Full Text: DOI
Bien, M. H.; Ramezan-Nassab, M.; Viet, D. H. \(\ast\)-Group identities on units of division rings. (English) Zbl 1486.16021 Commun. Algebra 49, No. 7, 3010-3019 (2021). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 16K40 16R50 16U60 16W10 PDFBibTeX XMLCite \textit{M. H. Bien} et al., Commun. Algebra 49, No. 7, 3010--3019 (2021; Zbl 1486.16021) Full Text: DOI
Krylov, P. A.; Tuganbaev, A. A. Automorphism groups of formal matrix rings. (English. Russian original) Zbl 1484.16026 J. Math. Sci., New York 258, No. 2, 222-249 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 164, 96-124 (2019). MSC: 16R99 16D10 PDFBibTeX XMLCite \textit{P. A. Krylov} and \textit{A. A. Tuganbaev}, J. Math. Sci., New York 258, No. 2, 222--249 (2021; Zbl 1484.16026); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 164, 96--124 (2019) Full Text: DOI
Vitas, Daniel Images of multilinear polynomials in the algebra of finitary matrices contain trace zero matrices. (English) Zbl 1483.16023 Linear Algebra Appl. 626, 221-233 (2021). Reviewer: Thiago Castilho de Mello (São José dos Campos) MSC: 16R99 16W25 PDFBibTeX XMLCite \textit{D. Vitas}, Linear Algebra Appl. 626, 221--233 (2021; Zbl 1483.16023) Full Text: DOI arXiv
Giambruno, A.; La Mattina, D.; Milies, C. Polcino Understanding star-fundamental algebras. (English) Zbl 1481.16025 Proc. Am. Math. Soc. 149, No. 8, 3221-3233 (2021). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R10 16R50 16P90 16W10 PDFBibTeX XMLCite \textit{A. Giambruno} et al., Proc. Am. Math. Soc. 149, No. 8, 3221--3233 (2021; Zbl 1481.16025) Full Text: DOI
Costa, W. D. S.; Ioppolo, A.; dos Santos, R. B.; Vieira, A. C. Unitary superalgebras with graded involution or superinvolution of polynomial growth. (English) Zbl 1484.16025 J. Pure Appl. Algebra 225, No. 9, Article ID 106666, 15 p. (2021). Reviewer: Mohd Arif Raza (Rabigh) MSC: 16R10 16R50 16W10 16W50 PDFBibTeX XMLCite \textit{W. D. S. Costa} et al., J. Pure Appl. Algebra 225, No. 9, Article ID 106666, 15 p. (2021; Zbl 1484.16025) Full Text: DOI
Bahturin, Yuri Identical relations in Lie algebras. 2nd edition. (English) Zbl 1487.17001 De Gruyter Expositions in Mathematics 68. Berlin: De Gruyter (ISBN 978-3-11-056557-7/hbk; 978-3-11-056665-9/ebook). xxv, 514 p. (2021). Reviewer: Plamen Koshlukov (Campinas) MSC: 17-02 17B01 16Rxx 17B05 16P10 17A70 20C30 17B30 20E10 PDFBibTeX XMLCite \textit{Y. Bahturin}, Identical relations in Lie algebras. 2nd edition. Berlin: De Gruyter (2021; Zbl 1487.17001) Full Text: DOI
Ioppolo, A.; dos Santos, R. B.; Santos, M. L. O.; Vieira, A. C. Superalgebras with graded involution: classifying minimal varieties of quadratic growth. (English) Zbl 1471.16036 Linear Algebra Appl. 621, 105-134 (2021). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R50 16W10 16W50 16P90 PDFBibTeX XMLCite \textit{A. Ioppolo} et al., Linear Algebra Appl. 621, 105--134 (2021; Zbl 1471.16036) Full Text: DOI
Vitas, Daniel Multilinear polynomials are surjective on algebras with surjective inner derivations. (English) Zbl 1459.16027 J. Algebra 565, 255-281 (2021). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R99 16W25 PDFBibTeX XMLCite \textit{D. Vitas}, J. Algebra 565, 255--281 (2021; Zbl 1459.16027) Full Text: DOI arXiv
Koshlukov, Plamen; Yasumura, Felipe Yukihide Gradings on the algebra of triangular matrices as a Lie algebra: revisited. arXiv:2103.11977 Preprint, arXiv:2103.11977 [math.RA] (2021). MSC: 17B70 16W50 17B01 17B30 16R99 BibTeX Cite \textit{P. Koshlukov} and \textit{F. Y. Yasumura}, ``Gradings on the algebra of triangular matrices as a Lie algebra: revisited'', Preprint, arXiv:2103.11977 [math.RA] (2021) Full Text: arXiv OA License
Kanel Belov, Alexei; Rowen, Louis The Braun-Kemer-Razmyslov theorem for affine \(PI\)-algebras. (English) Zbl 1473.16017 Chebyshevskiĭ Sb. 21, No. 3(75), 89-128 (2020). MSC: 16R10 13A15 05E40 PDFBibTeX XMLCite \textit{A. Kanel Belov} and \textit{L. Rowen}, Chebyshevskiĭ Sb. 21, No. 3(75), 89--128 (2020; Zbl 1473.16017) Full Text: arXiv MNR
Giambruno, Antonio; la Mattina, Daniela; Polcino Milies, Cesar Star-fundamental algebras: polynomial identities and asymptotics. (English) Zbl 1461.16025 Trans. Am. Math. Soc. 373, No. 11, 7869-7899 (2020). Reviewer: Alexei Kanel-Belov (Ramat-Gan) MSC: 16R10 16R50 16P90 16W10 PDFBibTeX XMLCite \textit{A. Giambruno} et al., Trans. Am. Math. Soc. 373, No. 11, 7869--7899 (2020; Zbl 1461.16025) Full Text: DOI
Holguín-Villa, Alexander; Castillo, John H. Normal group algebras. (English) Zbl 1458.16031 Commun. Algebra 48, No. 10, 4391-4402 (2020). MSC: 16S34 16W10 16R50 PDFBibTeX XMLCite \textit{A. Holguín-Villa} and \textit{J. H. Castillo}, Commun. Algebra 48, No. 10, 4391--4402 (2020; Zbl 1458.16031) Full Text: DOI arXiv
Centrone, Lucio; Yasumura, Felipe Actions of Taft’s algebras on finite dimensional algebras. (English) Zbl 1458.16027 J. Algebra 560, 725-744 (2020). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R99 16R10 PDFBibTeX XMLCite \textit{L. Centrone} and \textit{F. Yasumura}, J. Algebra 560, 725--744 (2020; Zbl 1458.16027) Full Text: DOI
Ioppolo, Antonio Superalgebras with superinvolution or graded involution with colengths sequence bounded by 3. (English) Zbl 1451.16016 Int. J. Algebra Comput. 30, No. 4, 821-838 (2020). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R50 16W10 16R10 16W50 PDFBibTeX XMLCite \textit{A. Ioppolo}, Int. J. Algebra Comput. 30, No. 4, 821--838 (2020; Zbl 1451.16016) Full Text: DOI
Markov, V. T.; Tuganbaev, A. A. Cayley-Dickson process and centrally essential rings. (English) Zbl 1451.16020 J. Algebra Appl. 19, No. 5, Article ID 2050096, 10 p. (2020). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R99 16U70 17A01 17D05 PDFBibTeX XMLCite \textit{V. T. Markov} and \textit{A. A. Tuganbaev}, J. Algebra Appl. 19, No. 5, Article ID 2050096, 10 p. (2020; Zbl 1451.16020) Full Text: DOI
Markov, V. T.; Tuganbaev, A. A. Rings with polynomial identity and centrally essential rings. (English) Zbl 1451.16019 Beitr. Algebra Geom. 60, No. 4, 657-661 (2019). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R99 16D10 PDFBibTeX XMLCite \textit{V. T. Markov} and \textit{A. A. Tuganbaev}, Beitr. Algebra Geom. 60, No. 4, 657--661 (2019; Zbl 1451.16019) Full Text: DOI arXiv
Bessades, D.; Leal, G.; dos Santos, R. B.; Vieira, A. C. Matrix algebras with involution and standard polynomial identities in symmetric variables. (English) Zbl 1423.16039 Linear Algebra Appl. 582, 467-481 (2019). MSC: 16W10 16R50 16S50 20C15 PDFBibTeX XMLCite \textit{D. Bessades} et al., Linear Algebra Appl. 582, 467--481 (2019; Zbl 1423.16039) Full Text: DOI
do Nascimento, T. S.; Vieira, A. C. Superalgebras with graded involution and star-graded colength bounded by 3. (English) Zbl 1422.16045 Linear Multilinear Algebra 67, No. 10, 1999-2020 (2019). MSC: 16W55 16R10 16W10 16W50 20C30 PDFBibTeX XMLCite \textit{T. S. do Nascimento} and \textit{A. C. Vieira}, Linear Multilinear Algebra 67, No. 10, 1999--2020 (2019; Zbl 1422.16045) Full Text: DOI
Giambruno, Antonio; Ioppolo, Antonio; La Mattina, Daniela Superalgebras with involution or superinvolution and almost polynomial growth of the codimensions. (English) Zbl 1436.16026 Algebr. Represent. Theory 22, No. 4, 961-976 (2019). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R10 16R50 16W10 16W50 PDFBibTeX XMLCite \textit{A. Giambruno} et al., Algebr. Represent. Theory 22, No. 4, 961--976 (2019; Zbl 1436.16026) Full Text: DOI
Martino, Fabrizio Varieties of special Jordan algebras of almost polynomial growth. (English) Zbl 1446.17043 J. Algebra 531, 184-196 (2019). Reviewer: Plamen Koshlukov (Campinas) MSC: 17C05 16R10 17C55 17C50 PDFBibTeX XMLCite \textit{F. Martino}, J. Algebra 531, 184--196 (2019; Zbl 1446.17043) Full Text: DOI
Centrone, Lucio; Martino, Fabrizio; da Silva Souza, Manuela Specht property for some varieties of Jordan algebras of almost polynomial growth. (English) Zbl 1456.17017 J. Algebra 521, 137-165 (2019). Reviewer: Plamen Koshlukov (Campinas) MSC: 17C05 17C50 16W10 16R10 PDFBibTeX XMLCite \textit{L. Centrone} et al., J. Algebra 521, 137--165 (2019; Zbl 1456.17017) Full Text: DOI
Giambruno, Antonio; Zaicev, Mikhail Central polynomials of associative algebras and their growth. (English) Zbl 1409.16018 Proc. Am. Math. Soc. 147, No. 3, 909-919 (2019). Reviewer: Victor Petrogradsky (Brasilia) MSC: 16R10 16R99 16P90 PDFBibTeX XMLCite \textit{A. Giambruno} and \textit{M. Zaicev}, Proc. Am. Math. Soc. 147, No. 3, 909--919 (2019; Zbl 1409.16018) Full Text: DOI
Cantuba, Rafael Reno S. Ubiquitous Lie polynomials in a two-generator universal enveloping algebra. arXiv:1909.02318 Preprint, arXiv:1909.02318 [math.RA] (2019). MSC: 17B60 17B65 17B35 17B01 17B68 17B70 16R99 16W70 BibTeX Cite \textit{R. R. S. Cantuba}, ``Ubiquitous Lie polynomials in a two-generator universal enveloping algebra'', Preprint, arXiv:1909.02318 [math.RA] (2019) Full Text: arXiv OA License
Berele, Allan; Regev, Amitai Growth of central polynomials of verbally prime algebras. (English) Zbl 1400.05275 Isr. J. Math. 228, No. 1, 201-210 (2018). MSC: 05E15 16R99 PDFBibTeX XMLCite \textit{A. Berele} and \textit{A. Regev}, Isr. J. Math. 228, No. 1, 201--210 (2018; Zbl 1400.05275) Full Text: DOI
Grishin, A. V. Asymptotics of the codimensions \(c_n\) in the algebra \(F^{(7)}\). (English. Russian original) Zbl 1428.16022 Math. Notes 104, No. 1, 22-28 (2018); translation from Mat. Zametki 104, No. 1, 25-32 (2018). MSC: 16R10 16R99 PDFBibTeX XMLCite \textit{A. V. Grishin}, Math. Notes 104, No. 1, 22--28 (2018; Zbl 1428.16022); translation from Mat. Zametki 104, No. 1, 25--32 (2018) Full Text: DOI
Ioppolo, Antonio; Martino, Fabrizio Varieties of algebras with pseudoinvolution and polynomial growth. (English) Zbl 1397.16017 Linear Multilinear Algebra 66, No. 11, 2286-2304 (2018). MSC: 16R10 16R50 16W10 16W50 PDFBibTeX XMLCite \textit{A. Ioppolo} and \textit{F. Martino}, Linear Multilinear Algebra 66, No. 11, 2286--2304 (2018; Zbl 1397.16017) Full Text: DOI
Lee, Tsiu-Kwen Commuting anti-homomorphisms. (English) Zbl 1430.16020 Commun. Algebra 46, No. 3, 1060-1065 (2018). MSC: 16N60 16W10 16W20 16R50 16R60 PDFBibTeX XMLCite \textit{T.-K. Lee}, Commun. Algebra 46, No. 3, 1060--1065 (2018; Zbl 1430.16020) Full Text: DOI
Diniz, Diogo; Fidelis Bezerra Júnior, Claudemir Primeness property for graded central polynomials of verbally prime algebras. (English) Zbl 1416.16021 J. Pure Appl. Algebra 222, No. 6, 1388-1404 (2018). MSC: 16R20 16W50 16R99 PDFBibTeX XMLCite \textit{D. Diniz} and \textit{C. Fidelis Bezerra Júnior}, J. Pure Appl. Algebra 222, No. 6, 1388--1404 (2018; Zbl 1416.16021) Full Text: DOI arXiv
Després, Bruno Polynomials with bounds and numerical approximation. (English) Zbl 1379.65010 Numer. Algorithms 76, No. 3, 829-859 (2017). Reviewer: Adhemar Bultheel (Leuven) MSC: 65D15 PDFBibTeX XMLCite \textit{B. Després}, Numer. Algorithms 76, No. 3, 829--859 (2017; Zbl 1379.65010) Full Text: DOI HAL
Pchelintsev, S. V. Identities of metabelian alternative algebras. (English. Russian original) Zbl 1425.17046 Sib. Math. J. 58, No. 4, 693-710 (2017); translation from Sib. Mat. Zh. 58, No. 4, 894-915 (2017). MSC: 17D05 17A50 16D70 16R99 PDFBibTeX XMLCite \textit{S. V. Pchelintsev}, Sib. Math. J. 58, No. 4, 693--710 (2017; Zbl 1425.17046); translation from Sib. Mat. Zh. 58, No. 4, 894--915 (2017) Full Text: DOI
Koshlukov, Plamen; Yukihide Yasumura, Felipe Group gradings on the Jordan algebra of upper triangular matrices. (English) Zbl 1416.17023 Linear Algebra Appl. 534, 1-12 (2017). Reviewer: Juan Núñez Valdés (Sevilla) MSC: 17C05 17C99 16W50 17C50 16R99 PDFBibTeX XMLCite \textit{P. Koshlukov} and \textit{F. Yukihide Yasumura}, Linear Algebra Appl. 534, 1--12 (2017; Zbl 1416.17023) Full Text: DOI arXiv
Drensky, Vesselin; Kostadinov, Boyan Cocharacters of polynomial identities of block triangular matrices. (English) Zbl 1400.16013 Commun. Algebra 45, No. 5, 2127-2141 (2017). Reviewer: Thiago Castilho de Mello (São José dos Campos) MSC: 16R10 05A15 05E05 05E10 20C30 PDFBibTeX XMLCite \textit{V. Drensky} and \textit{B. Kostadinov}, Commun. Algebra 45, No. 5, 2127--2141 (2017; Zbl 1400.16013) Full Text: DOI arXiv
Aljadeff, Eli; Giambruno, Antonio; Karasik, Yakov Polynomial identities with involution, superinvolutions and the Grassmann envelope. (English) Zbl 1406.16021 Proc. Am. Math. Soc. 145, No. 5, 1843-1857 (2017). MSC: 16R10 16R50 16W10 PDFBibTeX XMLCite \textit{E. Aljadeff} et al., Proc. Am. Math. Soc. 145, No. 5, 1843--1857 (2017; Zbl 1406.16021) Full Text: DOI
dos Santos, Rafael Bezerra \(\ast\)-Superalgebras and exponential growth. (English) Zbl 1362.16030 J. Algebra 473, 283-306 (2017). Reviewer: Matej Brešar (Maribor) MSC: 16R50 16R10 16P90 16W10 PDFBibTeX XMLCite \textit{R. B. dos Santos}, J. Algebra 473, 283--306 (2017; Zbl 1362.16030) Full Text: DOI
Ioppolo, Antonio; La Mattina, Daniela Polynomial codimension growth of algebras with involutions and superinvolutions. (English) Zbl 1400.16014 J. Algebra 472, 519-545 (2017). MSC: 16R10 16R50 16W10 16W50 PDFBibTeX XMLCite \textit{A. Ioppolo} and \textit{D. La Mattina}, J. Algebra 472, 519--545 (2017; Zbl 1400.16014) Full Text: DOI
Giambruno, A.; Polcino Milies, C.; Valenti, A. Star-polynomial identities: computing the exponential growth of the codimensions. (English) Zbl 1353.16022 J. Algebra 469, 302-322 (2017). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R10 16R50 16P90 16W10 16W55 PDFBibTeX XMLCite \textit{A. Giambruno} et al., J. Algebra 469, 302--322 (2017; Zbl 1353.16022) Full Text: DOI
Topley, Lewis W. Harish-Chandra invariants and the centre of the reduced enveloping algebra. (English) Zbl 1406.17025 J. Pure Appl. Algebra 221, No. 2, 490-498 (2017). MSC: 17B50 17B35 16R99 PDFBibTeX XMLCite \textit{L. W. Topley}, J. Pure Appl. Algebra 221, No. 2, 490--498 (2017; Zbl 1406.17025) Full Text: DOI arXiv
Samoilov, L. M. On the primality property of central polynomials of prime varieties of associative algebras. (English. Russian original) Zbl 1353.16023 Math. Notes 99, No. 3, 413-416 (2016); translation from Mat. Zametki 99, No. 3, 404-408 (2016). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R10 16R99 PDFBibTeX XMLCite \textit{L. M. Samoilov}, Math. Notes 99, No. 3, 413--416 (2016; Zbl 1353.16023); translation from Mat. Zametki 99, No. 3, 404--408 (2016) Full Text: DOI
Wang, Zhengping; Rehman, Nadeem Ur; Huang, Shuliang An identity with skew derivations on Lie ideals. (English) Zbl 1363.16088 Commun. Math. Res. 32, No. 1, 83-87 (2016). MSC: 16W25 16N40 16N60 16W55 16W10 PDFBibTeX XMLCite \textit{Z. Wang} et al., Commun. Math. Res. 32, No. 1, 83--87 (2016; Zbl 1363.16088) Full Text: DOI
Siciliano, Salvatore; Usefi, Hamid Restricted enveloping algebras whose skew and symmetric elements are Lie metabelian. (English) Zbl 1404.17029 Forum Math. 28, No. 4, 807-812 (2016). MSC: 17B50 17B35 16S30 17B60 16R40 16W10 PDFBibTeX XMLCite \textit{S. Siciliano} and \textit{H. Usefi}, Forum Math. 28, No. 4, 807--812 (2016; Zbl 1404.17029) Full Text: DOI arXiv
Giambruno, Antonio; Ioppolo, Antonio; La Mattina, Daniela Varieties of algebras with superinvolution of almost polynomial growth. (English) Zbl 1352.16024 Algebr. Represent. Theory 19, No. 3, 599-611 (2016). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R10 16R50 16W10 16W50 16R99 PDFBibTeX XMLCite \textit{A. Giambruno} et al., Algebr. Represent. Theory 19, No. 3, 599--611 (2016; Zbl 1352.16024) Full Text: DOI
Drazin, Michael P. On a result of J.J. Sylvester. (English) Zbl 1360.15016 Linear Algebra Appl. 505, 361-366 (2016). MSC: 15A24 15A09 15A18 16R99 PDFBibTeX XMLCite \textit{M. P. Drazin}, Linear Algebra Appl. 505, 361--366 (2016; Zbl 1360.15016) Full Text: DOI
Kanel-Belov, Alexei; Karasik, Yakov; Rowen, Louis Halle Computational aspects of polynomial identities. Volume l: Kemer’s theorems. 2nd edition. (English) Zbl 1322.16013 Monographs and Research Notes in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-4987-2008-3/hbk; 978-1-4987-2009-0/ebook). xxvi, 418 p. (2016). MSC: 16R10 16R30 16-02 16P90 16W55 16N20 15A75 PDFBibTeX XMLCite \textit{A. Kanel-Belov} et al., Computational aspects of polynomial identities. Volume l: Kemer's theorems. 2nd edition. Boca Raton, FL: CRC Press (2016; Zbl 1322.16013)
Siciliano, Salvatore; Usefi, Hamid Lie properties of restricted enveloping algebras. (English) Zbl 1366.17011 Avitabile, Marina (ed.) et al., Lie algebras and related topics. Workshop on Lie algebras, in honor of Helmut Strade’s 70th birthday, Università degli Studi di Milano-Bicocca, Milano, Italy, May 22–24, 2013. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1023-0/pbk; 978-1-4704-2815-0/ebook). Contemporary Mathematics 652, 141-152 (2015). MSC: 17B35 16S30 16U60 16W10 17B50 PDFBibTeX XMLCite \textit{S. Siciliano} and \textit{H. Usefi}, Contemp. Math. 652, 141--152 (2015; Zbl 1366.17011) Full Text: DOI arXiv
Zaicev, M. V.; Repovš, D. Exponential growth of codimensions of identities of algebras with unity. (English. Russian original) Zbl 1378.17003 Sb. Math. 206, No. 10, 1440-1462 (2015); translation from Mat. Sb. 206, No. 10, 103-126 (2015). Reviewer: Vesselin Drensky (Sofia) MSC: 17A30 16R10 16P90 PDFBibTeX XMLCite \textit{M. V. Zaicev} and \textit{D. Repovš}, Sb. Math. 206, No. 10, 1440--1462 (2015; Zbl 1378.17003); translation from Mat. Sb. 206, No. 10, 103--126 (2015) Full Text: DOI arXiv
Ratseev, S. M. On minimal Poisson algebras. (English. Russian original) Zbl 1359.17035 Russ. Math. 59, No. 11, 54-61 (2015); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2015, No. 11, 64-72 (2015). Reviewer: Victor Petrogradsky (Brasilia) MSC: 17B63 17B01 16P90 17B60 PDFBibTeX XMLCite \textit{S. M. Ratseev}, Russ. Math. 59, No. 11, 54--61 (2015; Zbl 1359.17035); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2015, No. 11, 64--72 (2015) Full Text: DOI
Berele, Allan; Catoiu, Stefan Asymptotic behavior of \(S_n\) degrees associated with rational functions. (English) Zbl 1343.20018 Isr. J. Math. 208, 351-372 (2015). Reviewer: Vesselin Drensky (Sofia) MSC: 20C30 05E05 05A17 16P90 16R10 PDFBibTeX XMLCite \textit{A. Berele} and \textit{S. Catoiu}, Isr. J. Math. 208, 351--372 (2015; Zbl 1343.20018) Full Text: DOI
Brešar, Matej; Procesi, Claudio; Špenko, Špela Quasi-identities on matrices and the Cayley-Hamilton polynomial. (English) Zbl 1332.16019 Adv. Math. 280, 439-471 (2015). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R60 16R10 16R30 PDFBibTeX XMLCite \textit{M. Brešar} et al., Adv. Math. 280, 439--471 (2015; Zbl 1332.16019) Full Text: DOI arXiv
Mallol, Cristián; Varro, Richard Homogametization of weighted algebras. (Homogamétisation d’algèbres pondérées.) (French. English summary) Zbl 1346.17015 J. Algebra 427, 1-19 (2015). Reviewer: Antonio M. Oller (Zaragoza) MSC: 17D92 16R99 17A30 PDFBibTeX XMLCite \textit{C. Mallol} and \textit{R. Varro}, J. Algebra 427, 1--19 (2015; Zbl 1346.17015) Full Text: DOI
Bell, Jason P.; Madill, Blake W.; Shinko, Forte Differential polynomial rings over rings satisfying a polynomial identity. (English) Zbl 1308.16019 J. Algebra 423, 28-36 (2015). Reviewer: Halina France-Jackson (Port Elizabeth) MSC: 16N20 16S36 16N40 16W25 16R10 PDFBibTeX XMLCite \textit{J. P. Bell} et al., J. Algebra 423, 28--36 (2015; Zbl 1308.16019) Full Text: DOI arXiv
do Nascimento, T. S.; dos Santos, R. B.; Vieira, A. C. Graded cocharacters of minimal subvarieties of supervarieties of almost polynomial growth. (English) Zbl 1317.16021 J. Pure Appl. Algebra 219, No. 4, 913-929 (2015). Reviewer: Vesselin Drensky (Sofia) MSC: 16R50 16W55 20C30 05E10 05A17 16P90 PDFBibTeX XMLCite \textit{T. S. do Nascimento} et al., J. Pure Appl. Algebra 219, No. 4, 913--929 (2015; Zbl 1317.16021) Full Text: DOI
Ratseev, S. M. Correlation of Poisson algebras and Lie algebras in the language of identities. (English. Russian original) Zbl 1359.17034 Math. Notes 96, No. 4, 538-547 (2014); translation from Mat. Zametki 96, No. 4, 567-577 (2014). Reviewer: Victor Petrogradsky (Brasilia) MSC: 17B63 17B01 16P90 17B60 PDFBibTeX XMLCite \textit{S. M. Ratseev}, Math. Notes 96, No. 4, 538--547 (2014; Zbl 1359.17034); translation from Mat. Zametki 96, No. 4, 567--577 (2014) Full Text: DOI
Cirrito, Alessio; Martino, Fabrizio Ordinary and graded cocharacter of the Jordan algebra of \(2 \times 2\) upper triangular matrices. (English) Zbl 1297.17013 Linear Algebra Appl. 451, 246-259 (2014). Reviewer: Irene Paniello (Pamplona) MSC: 17C05 16R10 16R99 PDFBibTeX XMLCite \textit{A. Cirrito} and \textit{F. Martino}, Linear Algebra Appl. 451, 246--259 (2014; Zbl 1297.17013) Full Text: DOI
Giambruno, Antonio; Zaicev, Mikhail Non-integrality of the PI-exponent of special Lie algebras. (English) Zbl 1339.17005 Adv. Appl. Math. 51, No. 5, 619-634 (2013). Reviewer: Vesselin Drensky (Sofia) MSC: 17B01 16P90 16R10 17B20 17B60 17B70 PDFBibTeX XMLCite \textit{A. Giambruno} and \textit{M. Zaicev}, Adv. Appl. Math. 51, No. 5, 619--634 (2013; Zbl 1339.17005) Full Text: DOI
Kostant, Bertram Center \(U(\mathfrak n)\), cascade of orthogonal roots, and a construction of Lipsman-Wolf. (English) Zbl 1322.22007 Huckleberry, Alan (ed.) et al., Lie groups: structure, actions, and representations. In honor of Joseph A. Wolf on the occasion of his 75th birthday. New York, NY: Birkhäuser/Springer (ISBN 978-1-4614-7192-9/hbk; 978-1-4614-7193-6/ebook). Progress in Mathematics 306, 163-173 (2013). Reviewer: A. L. Onishchik (Yaroslavl) MSC: 22Exx 14Lxx 16Rxx 16Wxx 22E46 17B35 PDFBibTeX XMLCite \textit{B. Kostant}, Prog. Math. 306, 163--173 (2013; Zbl 1322.22007) Full Text: DOI arXiv
Di Vincenzo, Onofrio M.; Ribeiro Tomaz da Silva, Viviane On \(*\)-cocharacters of \(M_{1,1}(E)\). (English) Zbl 1283.16022 J. Pure Appl. Algebra 217, No. 9, 1740-1753 (2013). MSC: 16R50 16R10 15A75 16W10 PDFBibTeX XMLCite \textit{O. M. Di Vincenzo} and \textit{V. Ribeiro Tomaz da Silva}, J. Pure Appl. Algebra 217, No. 9, 1740--1753 (2013; Zbl 1283.16022) Full Text: DOI
Belov-Kanel, Alexei; Rowen, Louis H.; Vishne, Uzi PI-varieties associated to full quivers of representations of algebras. (English) Zbl 1302.16014 Trans. Am. Math. Soc. 365, No. 5, 2681-2722 (2013). Reviewer: Vesselin Drensky (Sofia) MSC: 16R10 16R30 16G20 PDFBibTeX XMLCite \textit{A. Belov-Kanel} et al., Trans. Am. Math. Soc. 365, No. 5, 2681--2722 (2013; Zbl 1302.16014) Full Text: DOI
Repovš, Dušan; Zaicev, Mikhail On the codimension growth of almost nilpotent Lie algebras. (English) Zbl 1316.17003 Isr. J. Math. 194, Part A, 137-150 (2013). Reviewer: Vesselin Drensky (Sofia) MSC: 17B01 16P90 16R10 17B30 17B60 17B65 PDFBibTeX XMLCite \textit{D. Repovš} and \textit{M. Zaicev}, Isr. J. Math. 194, Part A, 137--150 (2013; Zbl 1316.17003) Full Text: DOI arXiv
Cirrito, Alessio; Giambruno, Antonio Group graded algebras and multiplicities bounded by a constant. (English) Zbl 1288.16036 J. Pure Appl. Algebra 217, No. 2, 259-268 (2013). Reviewer: Vesselin Drensky (Sofia) MSC: 16R50 16R10 16W50 20C30 05E10 PDFBibTeX XMLCite \textit{A. Cirrito} and \textit{A. Giambruno}, J. Pure Appl. Algebra 217, No. 2, 259--268 (2013; Zbl 1288.16036) Full Text: DOI
Kostant, Bertram Generalized Amitsur-Levitski theorem and equations for sheets in a reductive complex Lie algebra. arXiv:1309.7076 Preprint, arXiv:1309.7076 [math.RT] (2013). MSC: 16Rxx 16Gxx 17Bxx 22E25 BibTeX Cite \textit{B. Kostant}, ``Generalized Amitsur-Levitski theorem and equations for sheets in a reductive complex Lie algebra'', Preprint, arXiv:1309.7076 [math.RT] (2013) Full Text: arXiv OA License
Iyudu, Natalia; Makhlouf, Abdenacer On Koszulity for operads of Conformal Field Theory. arXiv:1304.0687 Preprint, arXiv:1304.0687 [math.RA] (2013). MSC: 16S37 18D50 17B69 16R99 BibTeX Cite \textit{N. Iyudu} and \textit{A. Makhlouf}, ``On Koszulity for operads of Conformal Field Theory'', Preprint, arXiv:1304.0687 [math.RA] (2013) Full Text: arXiv OA License
Finogenova, Olga Characterizing non-matrix properties of varieties of algebras in the language of forbidden objects. (English) Zbl 1374.16044 Serdica Math. J. 38, No. 1-3, 473-496 (2012). Reviewer: Vesselin Drensky (Sofia) MSC: 16R10 16R40 PDFBibTeX XMLCite \textit{O. Finogenova}, Serdica Math. J. 38, No. 1--3, 473--496 (2012; Zbl 1374.16044) Full Text: Link