Beaupré, Aria; Hoopes-Boyd, Emily; O’Brien, Grace On the images of generalized polynomials evaluated on matrices over an algebraically closed skew field. (English) Zbl 07311333 Linear Algebra Appl. 610, 827-836 (2021). MSC: 16S50 16R50 15B33 PDF BibTeX XML Cite \textit{A. Beaupré} et al., Linear Algebra Appl. 610, 827--836 (2021; Zbl 07311333) Full Text: DOI
Guimarães, Alan; Fidelis, Claudemir; Dias, Laise \(\mathbb{Z}_q\)-graded identities and central polynomials of the Grassmann algebra. (English) Zbl 07309788 Linear Algebra Appl. 609, 12-36 (2021). MSC: 15A75 16R10 16W50 PDF BibTeX XML Cite \textit{A. Guimarães} et al., Linear Algebra Appl. 609, 12--36 (2021; Zbl 07309788) Full Text: DOI
Liu, Cheng-Kai An Engel condition with two generalized derivations in prime rings. (English) Zbl 07306369 Commun. Algebra 49, No. 2, 836-849 (2021). MSC: 16N60 16W25 16R50 PDF BibTeX XML Cite \textit{C.-K. Liu}, Commun. Algebra 49, No. 2, 836--849 (2021; Zbl 07306369) Full Text: DOI
Bijaoui, Colin; Boden, Hans U.; Myers, Beckham; Osburn, Robert; Rushworth, William; Tronsgard, Aaron; Zhou, Shaoyang Generalized fishburn numbers and torus knots. (English) Zbl 07304661 J. Comb. Theory, Ser. A 178, Article ID 105355, 16 p. (2021). MSC: 11B83 57M27 57M25 57N10 05A19 PDF BibTeX XML Cite \textit{C. Bijaoui} et al., J. Comb. Theory, Ser. A 178, Article ID 105355, 16 p. (2021; Zbl 07304661) Full Text: DOI
Schützer, Waldeck; de Oliveira, Abel Gomes On some \(H\)-Galois objects and their polynomial \(H\)-identities. (English) Zbl 07302502 Arch. Math. 116, No. 1, 7-18 (2021). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R40 16T15 PDF BibTeX XML Cite \textit{W. Schützer} and \textit{A. G. de Oliveira}, Arch. Math. 116, No. 1, 7--18 (2021; Zbl 07302502) Full Text: DOI
Birmajer, Daniel; Gil, Juan D.; Gil, Juan B.; Weiner, Michael D. Schröder coloring and applications. (English) Zbl 07298072 J. Integer Seq. 24, No. 1, Article 21.1.3, 13 p. (2021). MSC: 05A19 05A15 05A10 05C05 11B83 PDF BibTeX XML Cite \textit{D. Birmajer} et al., J. Integer Seq. 24, No. 1, Article 21.1.3, 13 p. (2021; Zbl 07298072) Full Text: Link
Wang, Xiaoxia; Yu, Menglin Some new \(q\)-congruences on double sums. (English) Zbl 1451.33008 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 1, Paper No. 9, 9 p. (2021). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 33D15 11A07 11B65 PDF BibTeX XML Cite \textit{X. Wang} and \textit{M. Yu}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 1, Paper No. 9, 9 p. (2021; Zbl 1451.33008) Full Text: DOI
Ioppolo, Antonio; Martino, Fabrizio On multiplicities of cocharacters for algebras with superinvolution. (English) Zbl 07251308 J. Pure Appl. Algebra 225, No. 3, Article ID 106536, 18 p. (2021). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R50 16W50 16R10 PDF BibTeX XML Cite \textit{A. Ioppolo} and \textit{F. Martino}, J. Pure Appl. Algebra 225, No. 3, Article ID 106536, 18 p. (2021; Zbl 07251308) Full Text: DOI
Ioppolo, Antonio; Koshlukov, Plamen; La Mattina, Daniela Trace identities and almost polynomial growth. (English) Zbl 1452.16025 J. Pure Appl. Algebra 225, No. 2, Article ID 106501, 19 p. (2021). Reviewer: Allan Berele (Chicago) MSC: 16R10 16R30 16R50 PDF BibTeX XML Cite \textit{A. Ioppolo} et al., J. Pure Appl. Algebra 225, No. 2, Article ID 106501, 19 p. (2021; Zbl 1452.16025) Full Text: DOI
Raza, Mohd Arif; Alhazmi, Hussain Commutators and anti-commutators having automorphisms on Lie ideals in prime rings. (English) Zbl 07312269 Korean J. Math. 28, No. 3, 603-611 (2020). MSC: 16N60 16W20 16R50 PDF BibTeX XML Cite \textit{M. A. Raza} and \textit{H. Alhazmi}, Korean J. Math. 28, No. 3, 603--611 (2020; Zbl 07312269) Full Text: DOI
Chu, Wenchang Alternating series of Aapéry-type for the Riemann zeta function. (English) Zbl 07309085 Contrib. Discrete Math. 15, No. 3, 108-116 (2020). MSC: 11M06 11B65 PDF BibTeX XML Cite \textit{W. Chu}, Contrib. Discrete Math. 15, No. 3, 108--116 (2020; Zbl 07309085) Full Text: DOI
Kanel-Belov, Alexei; Malev, Sergey; Rowen, Louis; Yavich, Roman Evaluations of noncommutative polynomials on algebras: methods and problems, and the L’vov-Kaplansky conjecture. (English) Zbl 07292439 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 071, 61 p. (2020). MSC: 16H05 16K20 16R30 16R40 17B99 PDF BibTeX XML Cite \textit{A. Kanel-Belov} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 071, 61 p. (2020; Zbl 07292439) Full Text: DOI
Boyadzhiev, Khristo N. New series identities with Cauchy, Stirling, and harmonic numbers, and Laguerre polynomials. (English) Zbl 07284468 J. Integer Seq. 23, No. 11, Article 20.11.7, 17 p. (2020). MSC: 11B65 05A19 33B99 30B10 PDF BibTeX XML Cite \textit{K. N. Boyadzhiev}, J. Integer Seq. 23, No. 11, Article 20.11.7, 17 p. (2020; Zbl 07284468) Full Text: Link
Chellal, Redha; Bencherif, Farid; Mehbali, Mohamed An identity for generalized Bernoulli polynomials. (English) Zbl 07284463 J. Integer Seq. 23, No. 11, Article 20.11.2, 25 p. (2020). MSC: 11B68 05A10 11B65 PDF BibTeX XML Cite \textit{R. Chellal} et al., J. Integer Seq. 23, No. 11, Article 20.11.2, 25 p. (2020; Zbl 07284463) Full Text: Link
Gu, Cheng-Yang; Guo, Victor J. W. Proof of two conjectures on supercongruences involving central binomial coefficients. (English) Zbl 07282362 Bull. Aust. Math. Soc. 102, No. 3, 360-364 (2020). MSC: 11A07 11B65 PDF BibTeX XML Cite \textit{C.-Y. Gu} and \textit{V. J. W. Guo}, Bull. Aust. Math. Soc. 102, No. 3, 360--364 (2020; Zbl 07282362) Full Text: DOI
Dor, Gal; Kanel-Belov, Alexei; Vishne, Uzi The Grassmann algebra over arbitrary rings and minus sign in arbitrary characteristic. (English) Zbl 07281951 Trans. Am. Math. Soc., Ser. B 7, 227-253 (2020). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R10 17A70 16R30 16R50 PDF BibTeX XML Cite \textit{G. Dor} et al., Trans. Am. Math. Soc., Ser. B 7, 227--253 (2020; Zbl 07281951) Full Text: DOI
Sandhu, Gurninder S.; Kumar, Deepak; Davvaz, Bijan On generalized derivations and commutativity of associative rings. (English) Zbl 07278248 Discuss. Math., Gen. Algebra Appl. 40, No. 1, 49-62 (2020). MSC: 46J10 16N20 16N60 16W25 PDF BibTeX XML Cite \textit{G. S. Sandhu} et al., Discuss. Math., Gen. Algebra Appl. 40, No. 1, 49--62 (2020; Zbl 07278248) Full Text: DOI
Bremner, Murray; Dotsenko, Vladimir Distributive laws between the operads Lie and Com. (English) Zbl 07276752 Int. J. Algebra Comput. 30, No. 8, 1565-1576 (2020). MSC: 18M60 13C10 13N15 13P10 15A54 15A69 16S37 17A30 17A50 17B60 17B63 68W30 PDF BibTeX XML Cite \textit{M. Bremner} and \textit{V. Dotsenko}, Int. J. Algebra Comput. 30, No. 8, 1565--1576 (2020; Zbl 07276752) Full Text: DOI
Bremner, Murray R.; Elgendy, Hader A. Special identities for comtrans algebras. (English) Zbl 07275242 Linear Multilinear Algebra 68, No. 6, 1140-1159 (2020). MSC: 17A40 15-04 15A21 15A69 15B36 18D50 20C30 68W30 PDF BibTeX XML Cite \textit{M. R. Bremner} and \textit{H. A. Elgendy}, Linear Multilinear Algebra 68, No. 6, 1140--1159 (2020; Zbl 07275242) Full Text: DOI
Ahmed, H.; Bekbaev, U.; Rakhimov, I. Identities on two-dimensional algebras. (English) Zbl 07272818 Lobachevskii J. Math. 41, No. 9, 1615-1629 (2020). MSC: 16R10 PDF BibTeX XML Cite \textit{H. Ahmed} et al., Lobachevskii J. Math. 41, No. 9, 1615--1629 (2020; Zbl 07272818) Full Text: DOI
Kȩpczyk, Marek Rings which are sums of PI subrings. (English) Zbl 07272218 J. Algebra Appl. 19, No. 8, Article ID 2050157, 12 p. (2020). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R10 16N40 16R50 PDF BibTeX XML Cite \textit{M. Kȩpczyk}, J. Algebra Appl. 19, No. 8, Article ID 2050157, 12 p. (2020; Zbl 07272218) Full Text: DOI
Guo, Victor J. W.; Schlosser, Michael J. A new family of \(q\)-supercongruences modulo the fourth power of a cyclotomic polynomial. (English) Zbl 07271448 Result. Math. 75, No. 4, Paper No. 155, 12 p. (2020). MSC: 11 33D15 11A07 11B65 PDF BibTeX XML Cite \textit{V. J. W. Guo} and \textit{M. J. Schlosser}, Result. Math. 75, No. 4, Paper No. 155, 12 p. (2020; Zbl 07271448) Full Text: DOI
Giambruno, Antonio; la Mattina, Daniela; Polcino Milies, Cesar Star-fundamental algebras: polynomial identities and asymptotics. (English) Zbl 07269825 Trans. Am. Math. Soc. 373, No. 11, 7869-7899 (2020). Reviewer: Alexei Kanel-Belov (Ramat-Gan) MSC: 16R10 16R50 16P90 16W10 PDF BibTeX XML Cite \textit{A. Giambruno} et al., Trans. Am. Math. Soc. 373, No. 11, 7869--7899 (2020; Zbl 07269825) Full Text: DOI
Giambruno, Antonio; La Mattina, Daniela Codimensions of star-algebras and low exponential growth. (English) Zbl 07261512 Isr. J. Math. 239, No. 1, 1-20 (2020). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R10 16R50 16W10 PDF BibTeX XML Cite \textit{A. Giambruno} and \textit{D. La Mattina}, Isr. J. Math. 239, No. 1, 1--20 (2020; Zbl 07261512) Full Text: DOI
Klep, Igor; Vinnikov, Victor; Volčič, Jurij Multipartite rational functions. (English) Zbl 07261431 Doc. Math. 25, 1285-1313 (2020). MSC: 16K40 12E15 47A56 16R50 PDF BibTeX XML Cite \textit{I. Klep} et al., Doc. Math. 25, 1285--1313 (2020; Zbl 07261431) Full Text: DOI
Naves, Fernando Augusto; Talpo, Humberto Luiz Minimum degree of an \(A\)-identity of \(E\otimes E\). (English) Zbl 07261088 Int. J. Algebra Comput. 30, No. 6, 1237-1256 (2020). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R10 16R50 PDF BibTeX XML Cite \textit{F. A. Naves} and \textit{H. L. Talpo}, Int. J. Algebra Comput. 30, No. 6, 1237--1256 (2020; Zbl 07261088) Full Text: DOI
Li, Long; Wang, Su-Dan Proof of a \(q\)-supercongruence conjectured by Guo and Schlosser. (English) Zbl 07258316 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 4, Paper No. 190, 7 p. (2020). MSC: 11B65 11A07 11F33 PDF BibTeX XML Cite \textit{L. Li} and \textit{S.-D. Wang}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 4, Paper No. 190, 7 p. (2020; Zbl 07258316) Full Text: DOI
Sagan, Bruce E.; Tirrell, Jordan Lucas atoms. (English) Zbl 07258218 Adv. Math. 374, Article ID 107387, 25 p. (2020). MSC: 11B39 05A10 11B65 11R09 PDF BibTeX XML Cite \textit{B. E. Sagan} and \textit{J. Tirrell}, Adv. Math. 374, Article ID 107387, 25 p. (2020; Zbl 07258218) Full Text: DOI
Brešar, Matej Commutators and images of noncommutative polynomials. (English) Zbl 07258201 Adv. Math. 374, Article ID 107346, 21 p. (2020). Reviewer: Allan Berele (Chicago) MSC: 16R10 16R60 16S50 46L05 PDF BibTeX XML Cite \textit{M. Brešar}, Adv. Math. 374, Article ID 107346, 21 p. (2020; Zbl 07258201) Full Text: DOI
Domokos, Mátyás; Drensky, Vesselin Cocharacters for the weak polynomial identities of the Lie algebra of \(3 \times 3\) skew-symmetric matrices. (English) Zbl 07258198 Adv. Math. 374, Article ID 107343, 40 p. (2020). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R10 16R30 17B01 17B20 17B45 20C30 PDF BibTeX XML Cite \textit{M. Domokos} and \textit{V. Drensky}, Adv. Math. 374, Article ID 107343, 40 p. (2020; Zbl 07258198) Full Text: DOI
Sun, Zhi-Hong Congruences involving binomial coefficients and Apéry-like numbers. (English) Zbl 07254825 Publ. Math. 96, No. 3-4, 315-346 (2020). MSC: 11A07 11A15 11B50 11B65 11B68 11E25 11F11 33C45 65Q30 PDF BibTeX XML Cite \textit{Z.-H. Sun}, Publ. Math. 96, No. 3--4, 315--346 (2020; Zbl 07254825) Full Text: DOI
Demir, Çagri; De Filippis, Vincenzo; Argaç, Nurcan A quadratic generalized differential identity on Lie ideals of prime rings. (English) Zbl 07254719 Linear Multilinear Algebra 68, No. 9, 1835-1847 (2020). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R50 16W25 16N60 PDF BibTeX XML Cite \textit{Ç. Demir} et al., Linear Multilinear Algebra 68, No. 9, 1835--1847 (2020; Zbl 07254719) Full Text: DOI
Guimarães, Alan De Araújo; Fidelis, Claudemir; Koshlukov, Plamen \(\mathbb Z_2\) and \(\mathbb Z\)-graded central polynomials of the Grassmann algebra. (English) Zbl 07252756 Int. J. Algebra Comput. 30, No. 5, 1035-1056 (2020). MSC: 15A75 16R10 16W55 17A70 PDF BibTeX XML Cite \textit{A. De A. Guimarães} et al., Int. J. Algebra Comput. 30, No. 5, 1035--1056 (2020; Zbl 07252756) Full Text: DOI
Holguín-Villa, Alexander; Castillo, John H. Normal group algebras. (English) Zbl 07251759 Commun. Algebra 48, No. 10, 4391-4402 (2020). MSC: 16S34 16W10 16R50 PDF BibTeX XML Cite \textit{A. Holguín-Villa} and \textit{J. H. Castillo}, Commun. Algebra 48, No. 10, 4391--4402 (2020; Zbl 07251759) Full Text: DOI
Varro, Richard Peirce-evanescent baric identities. (English) Zbl 07251656 J. Algebra 564, 49-97 (2020). MSC: 17D92 17A30 PDF BibTeX XML Cite \textit{R. Varro}, J. Algebra 564, 49--97 (2020; Zbl 07251656) Full Text: DOI
Tomljanović, Zoran; Voigt, Matthias Semi-active \(\mathcal{H}_{\infty}\) damping optimization by adaptive interpolation. (English) Zbl 07250715 Numer. Linear Algebra Appl. 27, No. 4, e2300, 17 p. (2020). Reviewer: Ninoslav Truhar (Osijek) MSC: 70Q05 74P10 32E30 49M99 65K10 15A24 PDF BibTeX XML Cite \textit{Z. Tomljanović} and \textit{M. Voigt}, Numer. Linear Algebra Appl. 27, No. 4, e2300, 17 p. (2020; Zbl 07250715) Full Text: DOI
Gu, Cheng-Yang; Guo, Victor J. W. \(q\)-analogues of two supercongruences of Z.-W. Sun. (English) Zbl 07250687 Czech. Math. J. 70, No. 3, 757-765 (2020). MSC: 11B65 05A10 05A30 11A07 PDF BibTeX XML Cite \textit{C.-Y. Gu} and \textit{V. J. W. Guo}, Czech. Math. J. 70, No. 3, 757--765 (2020; Zbl 07250687) Full Text: DOI
Qi, Feng; Natalini, Pierpaolo; Ricci, Paolo Emilio Recurrences of Stirling and lah numbers via second kind Bell polynomial. (English) Zbl 07250381 DML, Discrete Math. Lett. 3, 31-36 (2020). MSC: 11B65 11B73 11B83 PDF BibTeX XML Cite \textit{F. Qi} et al., DML, Discrete Math. Lett. 3, 31--36 (2020; Zbl 07250381) Full Text: Link
Guo, Victor J. W. \(q\)-supercongruences modulo the fourth power of a cyclotomic polynomial via creative microscoping. (English) Zbl 07242724 Adv. Appl. Math. 120, Article ID 102078, 16 p. (2020). MSC: 11 33D15 11A07 11B65 PDF BibTeX XML Cite \textit{V. J. W. Guo}, Adv. Appl. Math. 120, Article ID 102078, 16 p. (2020; Zbl 07242724) Full Text: DOI
Centrone, Lucio; Yasumura, Felipe Actions of Taft’s algebras on finite dimensional algebras. (English) Zbl 07239019 J. Algebra 560, 725-744 (2020). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R99 16R10 PDF BibTeX XML Cite \textit{L. Centrone} and \textit{F. Yasumura}, J. Algebra 560, 725--744 (2020; Zbl 07239019) Full Text: DOI
Centrone, Lucio; Gonçalves, Dimas José; Couto Silva, Dalton Identities and central polynomials with involution for the Grassmann algebra. (English) Zbl 1452.16024 J. Algebra 560, 219-240 (2020). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R10 16R50 16W10 PDF BibTeX XML Cite \textit{L. Centrone} et al., J. Algebra 560, 219--240 (2020; Zbl 1452.16024) Full Text: DOI
Qi, Feng; Niu, Da-Wei; Lim, Dongkyu; Guo, Bai-Ni Closed formulas and identities on the Bell polynomials and falling factorials. (English) Zbl 07232880 Contrib. Discrete Math. 15, No. 1, 163-174 (2020). MSC: 11B83 05A10 11B65 12E10 26C05 33C10 43A90 PDF BibTeX XML Cite \textit{F. Qi} et al., Contrib. Discrete Math. 15, No. 1, 163--174 (2020; Zbl 07232880) 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 PDF BibTeX XML Cite \textit{A. Ioppolo}, Int. J. Algebra Comput. 30, No. 4, 821--838 (2020; Zbl 1451.16016) Full Text: DOI
Bazsó, András; Bérczes, Attila; Kolouch, Ondřej; Pink, István; Šustek, Jan Diophantine equations connected to the Komornik polynomials. (English) Zbl 07222697 Glas. Mat., III. Ser. 55, No. 1, 13-27 (2020). MSC: 11D41 11B83 11D41 11B68 11B65 11J86 PDF BibTeX XML Cite \textit{A. Bazsó} et al., Glas. Mat., III. Ser. 55, No. 1, 13--27 (2020; Zbl 07222697) Full Text: DOI
Hai, B. X.; Khanh, H. V.; Bien, M. H. Generalized power central group identities in almost subnormal subgroups of \(\operatorname{GL}_n(D)\). (English) Zbl 1451.16015 St. Petersbg. Math. J. 31, No. 4, 739-749 (2020) and Algebra Anal. 31, No. 4, 225-239 (2019). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R50 16K40 PDF BibTeX XML Cite \textit{B. X. Hai} et al., St. Petersbg. Math. J. 31, No. 4, 739--749 (2020; Zbl 1451.16015) Full Text: DOI
Klep, Igor; Vinnikov, Victor; Volčič, Jurij Local theory of free noncommutative functions: germs, meromorphic functions, and Hermite interpolation. (English) Zbl 1444.32003 Trans. Am. Math. Soc. 373, No. 8, 5587-5625 (2020). MSC: 32A20 47A56 16W60 16R50 32A05 16K40 PDF BibTeX XML Cite \textit{I. Klep} et al., Trans. Am. Math. Soc. 373, No. 8, 5587--5625 (2020; Zbl 1444.32003) Full Text: DOI
Mao, Guo-Shuai; Pan, Hao On the divisibility of some truncated hypergeometric series. (English) Zbl 07221836 Acta Arith. 195, No. 2, 199-206 (2020). MSC: 11B65 05A10 11A07 11T06 33C05 PDF BibTeX XML Cite \textit{G.-S. Mao} and \textit{H. Pan}, Acta Arith. 195, No. 2, 199--206 (2020; Zbl 07221836) Full Text: DOI
Ni, He-Xia; Pan, Hao Divisibility of some binomial sums. (English) Zbl 07221823 Acta Arith. 194, No. 4, 367-381 (2020). MSC: 11B65 05A10 05A30 11A07 PDF BibTeX XML Cite \textit{H.-X. Ni} and \textit{H. Pan}, Acta Arith. 194, No. 4, 367--381 (2020; Zbl 07221823) Full Text: DOI
Guo, Victor J. W. A family of \(q\)-congruences modulo the square of a cyclotomic polynomial. (English) Zbl 07220345 Electron Res. Arch. 28, No. 2, 1031-1036 (2020). MSC: 11 33D15 11A07 11B65 PDF BibTeX XML Cite \textit{V. J. W. Guo}, Electron Res. Arch. 28, No. 2, 1031--1036 (2020; Zbl 07220345) Full Text: DOI
Repovš, Dušan D.; Zaicev, Mikhail V. On existence of PI-exponents of unital algebras. (English) Zbl 1446.16026 Electron Res. Arch. 28, No. 2, 853-859 (2020). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R10 16P90 PDF BibTeX XML Cite \textit{D. D. Repovš} and \textit{M. V. Zaicev}, Electron Res. Arch. 28, No. 2, 853--859 (2020; Zbl 1446.16026) Full Text: DOI
Wang, Xiaoxia; Yue, Mingbing A \(q\)-analogue of the (A.2) supercongruence of Van Hamme for any prime \(p\equiv 3(\mathrm{mod}4)\). (English) Zbl 07219273 Int. J. Number Theory 16, No. 6, 1325-1335 (2020). MSC: 11 33D15 11A07 11B65 PDF BibTeX XML Cite \textit{X. Wang} and \textit{M. Yue}, Int. J. Number Theory 16, No. 6, 1325--1335 (2020; Zbl 07219273) Full Text: DOI
Pchelintsev, S. V. Construction and applications of an additive basis for the relatively free associative algebra with the Lie nilpotency identity of degree 5. (English. Russian original) Zbl 1443.16026 Sib. Math. J. 61, No. 1, 139-153 (2020); translation from Sib. Mat. Zh. 61, No. 1, 175-193 (2020). MSC: 16R10 15A75 16S10 16R40 PDF BibTeX XML Cite \textit{S. V. Pchelintsev}, Sib. Math. J. 61, No. 1, 139--153 (2020; Zbl 1443.16026); translation from Sib. Mat. Zh. 61, No. 1, 175--193 (2020) Full Text: DOI
Gonçalves, Dimas José; Riva, Evandro Graded polynomial identities for the upper triangular matrix algebra over a finite field. (English) Zbl 1442.16042 J. Algebra 559, 625-645 (2020). Reviewer: Wei Feng (Beijing) MSC: 16W50 16R50 16R10 PDF BibTeX XML Cite \textit{D. J. Gonçalves} and \textit{E. Riva}, J. Algebra 559, 625--645 (2020; Zbl 1442.16042) Full Text: DOI
Di Vincenzo, Onofrio Mario; da Silva Pinto, Marcos Antônio; da Silva, Viviane Ribeiro Tomaz On the factorability of polynomial identities of upper block triangular matrix algebras graded by cyclic groups. (English) Zbl 07207306 Linear Algebra Appl. 601, 311-337 (2020). Reviewer: Victor Petrogradsky (Brasília) MSC: 16R10 16R50 16W50 PDF BibTeX XML Cite \textit{O. M. Di Vincenzo} et al., Linear Algebra Appl. 601, 311--337 (2020; Zbl 07207306) Full Text: DOI
Liu, Cheng-Kai Additive \(n\)-commuting maps on semiprime rings. (English) Zbl 1448.16026 Proc. Edinb. Math. Soc., II. Ser. 63, No. 1, 193-216 (2020). Reviewer: Mehsin Atteya (Leicester) MSC: 16N60 16R20 16R60 PDF BibTeX XML Cite \textit{C.-K. Liu}, Proc. Edinb. Math. Soc., II. Ser. 63, No. 1, 193--216 (2020; Zbl 1448.16026) Full Text: DOI
Sun, Zhi-Hong New supercongruences involving products of two binomial coefficients. (English) Zbl 07201217 Bull. Aust. Math. Soc. 101, No. 3, 367-378 (2020). MSC: 11A07 11B68 05A10 05A19 PDF BibTeX XML Cite \textit{Z.-H. Sun}, Bull. Aust. Math. Soc. 101, No. 3, 367--378 (2020; Zbl 07201217) Full Text: DOI
Huang, Shuliang Derivations with annihilator conditions on Lie ideals in prime rings. (English) Zbl 1445.16017 J. Algebra Appl. 19, No. 2, Article ID 2050025, 8 p. (2020). Reviewer: Mehsin Atteya (Leicester) MSC: 16N60 16R50 16W25 PDF BibTeX XML Cite \textit{S. Huang}, J. Algebra Appl. 19, No. 2, Article ID 2050025, 8 p. (2020; Zbl 1445.16017) Full Text: DOI
Sedighi Hafshejani, J.; Naghipour, A. R.; Rismanchian, M. R. Integer-valued polynomials over block matrix algebras. (English) Zbl 1448.13039 J. Algebra Appl. 19, No. 3, Article ID 2050053, 17 p. (2020). Reviewer: Giulio Peruginelli (Padova) MSC: 13F20 16S50 15A24 PDF BibTeX XML Cite \textit{J. Sedighi Hafshejani} et al., J. Algebra Appl. 19, No. 3, Article ID 2050053, 17 p. (2020; Zbl 1448.13039) Full Text: DOI
Avelar, Danilo Vilela; Di Vincenzo, Onofrio Mario; da Silva, Viviane Ribeiro Tomaz On the classification of a family of minimal superalgebras. (English) Zbl 1437.16015 Commun. Algebra 48, No. 2, 733-758 (2020). Reviewer: Victor Petrogradsky (Brasilia) MSC: 16R10 16R50 16W55 PDF BibTeX XML Cite \textit{D. V. Avelar} et al., Commun. Algebra 48, No. 2, 733--758 (2020; Zbl 1437.16015) Full Text: DOI
Ioppolo, Antonio Some results concerning the multiplicities of cocharacters of superalgebras with graded involution. (English) Zbl 1439.16028 Linear Algebra Appl. 594, 51-70 (2020). Reviewer: Mohd Arif Raza (Rabigh) MSC: 16R50 16W10 16R10 PDF BibTeX XML Cite \textit{A. Ioppolo}, Linear Algebra Appl. 594, 51--70 (2020; Zbl 1439.16028) Full Text: DOI
Guo, Victor J. W. \(q\)-analogues of Dwork-type supercongruences. (English) Zbl 1439.11011 J. Math. Anal. Appl. 487, No. 2, Article ID 124022, 9 p. (2020). Reviewer: Dazhao Tang (Chongqing) MSC: 11A07 11B65 11F33 33D05 PDF BibTeX XML Cite \textit{V. J. W. Guo}, J. Math. Anal. Appl. 487, No. 2, Article ID 124022, 9 p. (2020; Zbl 1439.11011) Full Text: DOI
Dai, Lei; Pan, Hao Closed forms for degenerate Bernoulli polynomials. (English) Zbl 07184172 Bull. Aust. Math. Soc. 101, No. 2, 207-217 (2020). MSC: 11B68 05A10 11B65 11B73 PDF BibTeX XML Cite \textit{L. Dai} and \textit{H. Pan}, Bull. Aust. Math. Soc. 101, No. 2, 207--217 (2020; Zbl 07184172) Full Text: DOI
Derksen, Harm; Makam, Visu The regularity lemma is false over small fields. (English) Zbl 07182945 Commun. Algebra 48, No. 3, 1333-1339 (2020). Reviewer: Matej Brešar (Maribor) MSC: 16R50 17A35 15A69 PDF BibTeX XML Cite \textit{H. Derksen} and \textit{V. Makam}, Commun. Algebra 48, No. 3, 1333--1339 (2020; Zbl 07182945) Full Text: DOI
Raghavendar, K. Certain \(q\)-series identities and applications to lecture hall type partitions. (English) Zbl 1435.33019 J. Anal. 28, No. 1, 209-223 (2020). MSC: 33D15 33D45 05A30 PDF BibTeX XML Cite \textit{K. Raghavendar}, J. Anal. 28, No. 1, 209--223 (2020; Zbl 1435.33019) Full Text: DOI
Gouveia, Tatiana Aparecida; dos Santos, Rafael Bezerra; Vieira, Ana Cristina Minimal \(\ast\)-varieties and minimal supervarieties of polynomial growth. (English) Zbl 1442.16024 J. Algebra 552, 107-133 (2020). Reviewer: Alexei Kanel-Belov (Ramat-Gan) MSC: 16R50 20C30 16W10 PDF BibTeX XML Cite \textit{T. A. Gouveia} et al., J. Algebra 552, 107--133 (2020; Zbl 1442.16024) Full Text: DOI
Giambruno, Antonio; Zaicev, Mikhail Codimension growth of central polynomials of Lie algebras. (English) Zbl 07175506 Forum Math. 32, No. 1, 201-206 (2020). MSC: 17B20 17B01 PDF BibTeX XML Cite \textit{A. Giambruno} and \textit{M. Zaicev}, Forum Math. 32, No. 1, 201--206 (2020; Zbl 07175506) Full Text: DOI
Deo, Trinh Thanh; Bien, Mai Hoang; Hai, Bui Xuan On division subrings normalized by almost subnormal subgroups in division rings. (English) Zbl 07175026 Period. Math. Hung. 46, No. 1, 15-27 (2020). MSC: 16K40 16R50 PDF BibTeX XML Cite \textit{T. T. Deo} et al., Period. Math. Hung. 46, No. 1, 15--27 (2020; Zbl 07175026) Full Text: DOI
Guo, Victor J. W.; Schlosser, Michael J. Some new \(q\)-congruences for truncated basic hypergeometric series: even powers. (English) Zbl 1442.33007 Result. Math. 75, No. 1, Paper No. 1, 15 p. (2020). Reviewer: M. P. Chaudhary (New Delhi) MSC: 33D15 11A07 11B65 PDF BibTeX XML Cite \textit{V. J. W. Guo} and \textit{M. J. Schlosser}, Result. Math. 75, No. 1, Paper No. 1, 15 p. (2020; Zbl 1442.33007) Full Text: DOI
Di Vincenzo, Onofrio M.; Nardozza, Vincenzo Graded polynomial identities of triangular algebras. (English) Zbl 1441.16025 J. Pure Appl. Algebra 224, No. 6, Article ID 106256, 13 p. (2020). Reviewer: Alexei Kanel-Belov (Ramat-Gan) MSC: 16R50 16W50 16W99 PDF BibTeX XML Cite \textit{O. M. Di Vincenzo} and \textit{V. Nardozza}, J. Pure Appl. Algebra 224, No. 6, Article ID 106256, 13 p. (2020; Zbl 1441.16025) Full Text: DOI
Rizzo, Carla The Grassmann algebra and its differential identities. (English) Zbl 1437.16017 Algebr. Represent. Theory 23, No. 1, 125-134 (2020). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R10 16R50 16P90 PDF BibTeX XML Cite \textit{C. Rizzo}, Algebr. Represent. Theory 23, No. 1, 125--134 (2020; Zbl 1437.16017) Full Text: DOI
Berele, Allan; Regev, Amitai Asymptotic codimensions of \(M_k(E)\). (English) Zbl 07167263 Adv. Math. 363, Article ID 106979, 23 p. (2020). MSC: 16S50 20C30 16R10 16R30 PDF BibTeX XML Cite \textit{A. Berele} and \textit{A. Regev}, Adv. Math. 363, Article ID 106979, 23 p. (2020; Zbl 07167263) Full Text: DOI
Cai, Fangfang; Hou, Qing-Hu; Sun, Yidong; Yang, Arthur L. B. Combinatorial identities related to \(2 \times 2\) submatrices of recursive matrices. (English) Zbl 1431.05019 Discrete Math. 343, No. 3, Article ID 111734, 12 p. (2020). MSC: 05A19 05B20 11B65 PDF BibTeX XML Cite \textit{F. Cai} et al., Discrete Math. 343, No. 3, Article ID 111734, 12 p. (2020; Zbl 1431.05019) Full Text: DOI arXiv
Rizzo, Carla Algebras with involution and multiplicities bounded by a constant. (English) Zbl 1451.16017 J. Algebra 547, 556-578 (2020). Reviewer: Allan Berele (Chicago) MSC: 16R50 16W50 16R10 PDF BibTeX XML Cite \textit{C. Rizzo}, J. Algebra 547, 556--578 (2020; Zbl 1451.16017) Full Text: DOI
Stanley, Richard P.; Zanello, Fabrizio A generalization of a 1998 unimodality conjecture of Reiner and Stanton. (English) Zbl 1427.05011 J. Comb. 11, No. 1, 111-126 (2020). MSC: 05A10 05E05 05A17 05A19 PDF BibTeX XML Cite \textit{R. P. Stanley} and \textit{F. Zanello}, J. Comb. 11, No. 1, 111--126 (2020; Zbl 1427.05011) Full Text: DOI arXiv
Shareshian, John; Wachs, Michelle L. Gamma-positivity of variations of Eulerian polynomials. (English) Zbl 1435.11048 J. Comb. 11, No. 1, 1-33 (2020). MSC: 11B68 05E05 11B65 52B20 PDF BibTeX XML Cite \textit{J. Shareshian} and \textit{M. L. Wachs}, J. Comb. 11, No. 1, 1--33 (2020; Zbl 1435.11048) Full Text: DOI arXiv
Giambruno, Antonio; Milies, Cesar Polcino; Zaicev, Mikhail A characterization of fundamental algebras through \(S_n\)-characters. (English) Zbl 1442.16023 J. Algebra 541, 51-60 (2020). Reviewer: Alexei Kanel-Belov (Ramat-Gan) MSC: 16R10 16S99 05E18 PDF BibTeX XML Cite \textit{A. Giambruno} et al., J. Algebra 541, 51--60 (2020; Zbl 1442.16023) Full Text: DOI
Petrychkovych, V. M. Standard forms of matrices over rings with respect to different types of equivalences and their applications in theory of the matrix factorization and matrix equations. (Ukrainian, English) Zbl 07286254 Mat. Metody Fiz.-Mekh. Polya 62, No. 4, 7-27 (2019). Reviewer: Anatoly Martynyuk (Kyïv) MSC: 15A24 15A30 11D99 PDF BibTeX XML Cite \textit{V. M. Petrychkovych}, Mat. Metody Fiz.-Mekh. Polya 62, No. 4, 7--27 (2019; Zbl 07286254)
Sanjhira, Reshma; Nathwani, B. V.; Dave, B. I. Generalized Mittag-Leffler matrix function and associated matrix polynomials. (English) Zbl 07284856 J. Indian Math. Soc., New Ser. 86, No. 1-2, 161-178 (2019). MSC: 11C08 15A16 15A24 33C99 33E12 PDF BibTeX XML Cite \textit{R. Sanjhira} et al., J. Indian Math. Soc., New Ser. 86, No. 1--2, 161--178 (2019; Zbl 07284856) Full Text: DOI
Dzhaliuk, Nataliia S.; Petrychkovych, Vasyl’ M. Solutions of the matrix linear bilateral polynomial equation and their structure. (English) Zbl 1452.15006 Algebra Discrete Math. 27, No. 2, 243-251 (2019). Reviewer: George Stoica (Saint John) MSC: 15A24 15A21 15A54 PDF BibTeX XML Cite \textit{N. S. Dzhaliuk} and \textit{V. M. Petrychkovych}, Algebra Discrete Math. 27, No. 2, 243--251 (2019; Zbl 1452.15006) Full Text: Link
Kressner, Daniel A Krylov subspace method for the approximation of bivariate matrix functions. (English) Zbl 1451.65050 Bini, Dario Andrea (ed.) et al., Structured matrices in numerical linear algebra. Analysis, algorithms and applications. Selected papers of the INdAM meeting on structured matrices in numerical linear algebra: analysis, algorithms and applications, Cortona, Italy, September 4–8, 2017. Cham: Springer. Springer INdAM Ser. 30, 197-214 (2019). Reviewer: Mihail Voicu (Iaşi) MSC: 65F45 15A24 15A69 PDF BibTeX XML Cite \textit{D. Kressner}, Springer INdAM Ser. 30, 197--214 (2019; Zbl 1451.65050) Full Text: DOI
Méndez, Miguel A.; Ramírez, José L. A new approach to the \(r\)-Whitney numbers by using combinatorial differential calculus. (English) Zbl 07198521 Acta Univ. Sapientiae, Math. 11, No. 2, 387-418 (2019). MSC: 11B83 11B73 05A15 05A19 PDF BibTeX XML Cite \textit{M. A. Méndez} and \textit{J. L. Ramírez}, Acta Univ. Sapientiae, Math. 11, No. 2, 387--418 (2019; Zbl 07198521) Full Text: DOI
Reznick, Bruce Linearly dependent powers of binary quadratic forms. (English) Zbl 07179022 Pac. J. Math. 303, No. 2, 729-755 (2019). MSC: 11E76 11P05 14M99 11D25 11D41 PDF BibTeX XML Cite \textit{B. Reznick}, Pac. J. Math. 303, No. 2, 729--755 (2019; Zbl 07179022) Full Text: DOI
Ramirez, José L.; Shattuck, Mark Generalized Jacobsthal numbers and restricted \(k\)-ary words. (English) Zbl 1449.05020 PU.M.A., Pure Math. Appl. 28, No. 1, 91-108 (2019). MSC: 05A15 05A19 11B37 PDF BibTeX XML Cite \textit{J. L. Ramirez} and \textit{M. Shattuck}, PU.M.A., Pure Math. Appl. 28, No. 1, 91--108 (2019; Zbl 1449.05020) Full Text: DOI
Yun, Sang Jo; Park, Jin-Woo; Kwon, Jongkyum Symmetric identities of higher-order Carlitz’s type \(q\)-Changhee polynomials under \(S_3\). (English) Zbl 1447.11035 Adv. Stud. Contemp. Math., Kyungshang 29, No. 4, 551-563 (2019). MSC: 11B65 05A30 11S80 PDF BibTeX XML Cite \textit{S. J. Yun} et al., Adv. Stud. Contemp. Math., Kyungshang 29, No. 4, 551--563 (2019; Zbl 1447.11035) Full Text: DOI
Bhatnagar, Gaurav; Schlosser, Michael J. A partial theta function Borwein conjecture. (English) Zbl 1431.11031 Ann. Comb. 23, No. 3-4, 561-572 (2019). MSC: 11B65 05A20 11B83 33D52 PDF BibTeX XML Cite \textit{G. Bhatnagar} and \textit{M. J. Schlosser}, Ann. Comb. 23, No. 3--4, 561--572 (2019; Zbl 1431.11031) Full Text: DOI
Zudilin, Wadim Congruences for \(q\)-binomial coefficients. (English) Zbl 1431.11032 Ann. Comb. 23, No. 3-4, 1123-1135 (2019). MSC: 11B65 05A10 11A07 PDF BibTeX XML Cite \textit{W. Zudilin}, Ann. Comb. 23, No. 3--4, 1123--1135 (2019; Zbl 1431.11032) Full Text: DOI
Berkovich, Alexander; Uncu, Ali Kemal Elementary polynomial identities involving \(q\)-trinomial coefficients. (English) Zbl 1431.11030 Ann. Comb. 23, No. 3-4, 549-560 (2019). MSC: 11B65 11C08 11P81 11P82 11P83 11P84 05A10 05A15 05A17 PDF BibTeX XML Cite \textit{A. Berkovich} and \textit{A. K. Uncu}, Ann. Comb. 23, No. 3--4, 549--560 (2019; Zbl 1431.11030) Full Text: DOI
Koparal, Sibel On congruences for \(q\)-analogues of ballot numbers. (English) Zbl 1448.11050 Turk. J. Math. 43, No. 5, 2642-2648 (2019). MSC: 11B65 11A07 11C08 PDF BibTeX XML Cite \textit{S. Koparal}, Turk. J. Math. 43, No. 5, 2642--2648 (2019; Zbl 1448.11050) Full Text: Link
Zheng, Yuanping; Li, Nadia N. Bivariate extension of Bell polynomials. (English) Zbl 07157993 J. Integer Seq. 22, No. 8, Article 19.8.8, 9 p. (2019). Reviewer: Alfred Schreiber (Dresden) MSC: 11B73 05A19 05A10 PDF BibTeX XML Cite \textit{Y. Zheng} and \textit{N. N. Li}, J. Integer Seq. 22, No. 8, Article 19.8.8, 9 p. (2019; Zbl 07157993) Full Text: Link
Huang, Shuliang Annihilator condition on power values of commutators with derivations. (English) Zbl 1449.16042 J. Math. Res. Appl. 39, No. 5, 489-494 (2019). MSC: 16N60 16R50 16W25 PDF BibTeX XML Cite \textit{S. Huang}, J. Math. Res. Appl. 39, No. 5, 489--494 (2019; Zbl 1449.16042) Full Text: DOI
Aaghabali, Mehdi; Bien, Mai Hoang Certain simple maximal subfields in division rings. (English) Zbl 07144874 Czech. Math. J. 69, No. 4, 1053-1060 (2019). MSC: 16K20 16R50 17A35 PDF BibTeX XML Cite \textit{M. Aaghabali} and \textit{M. H. Bien}, Czech. Math. J. 69, No. 4, 1053--1060 (2019; Zbl 07144874) Full Text: DOI arXiv
Guo, Peter L.; Sun, Sophie C. C. Identities on factorial Grothendieck polynomials. (English) Zbl 1426.05007 Adv. Appl. Math. 111, Article ID 101933, 11 p. (2019). MSC: 05A19 05E05 14M15 14N15 PDF BibTeX XML Cite \textit{P. L. Guo} and \textit{S. C. C. Sun}, Adv. Appl. Math. 111, Article ID 101933, 11 p. (2019; Zbl 1426.05007) Full Text: DOI arXiv
Aigner, Florian Refined enumerations of alternating sign triangles. (English) Zbl 1440.05016 Adv. Appl. Math. 111, Article ID 101921, 28 p. (2019). MSC: 05A15 05A19 82B20 82B23 15B35 PDF BibTeX XML Cite \textit{F. Aigner}, Adv. Appl. Math. 111, Article ID 101921, 28 p. (2019; Zbl 1440.05016) Full Text: DOI
Nguyen, Lan On the rational function solutions of functional equations arising from multiplication of quantum integers. (English) Zbl 1436.39013 Math. Z. 293, No. 3-4, 903-933 (2019). MSC: 39B05 11B65 11B13 11C08 PDF BibTeX XML Cite \textit{L. Nguyen}, Math. Z. 293, No. 3--4, 903--933 (2019; Zbl 1436.39013) Full Text: DOI
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 PDF BibTeX XML Cite \textit{D. Bessades} et al., Linear Algebra Appl. 582, 467--481 (2019; Zbl 1423.16039) Full Text: DOI
Munarini, Emanuele Callan-like identities. (English) Zbl 1425.05017 Online J. Anal. Comb. 14, Article 6, 20 p. (2019). MSC: 05A19 05A15 33C45 11B73 11B83 PDF BibTeX XML Cite \textit{E. Munarini}, Online J. Anal. Comb. 14, Article 6, 20 p. (2019; Zbl 1425.05017) Full Text: Link
Berele, Allan Powers of standard identities satisfied by verbally prime algebras. (English) Zbl 1451.16012 Commun. Algebra 47, No. 12, 5338-5347 (2019). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R10 PDF BibTeX XML Cite \textit{A. Berele}, Commun. Algebra 47, No. 12, 5338--5347 (2019; Zbl 1451.16012) Full Text: DOI
Karasik, Yakov \(G\)-graded central polynomials and \(G\)-graded Posner’s theorem. (English) Zbl 1451.16014 Trans. Am. Math. Soc. 372, No. 8, 5531-5546 (2019). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R20 16R10 16R50 PDF BibTeX XML Cite \textit{Y. Karasik}, Trans. Am. Math. Soc. 372, No. 8, 5531--5546 (2019; Zbl 1451.16014) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \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
Belov, Alexei; Erschler, Anna No iterated identities satisfied by all finite groups. (English) Zbl 1442.20021 Isr. J. Math. 233, No. 1, 167-197 (2019). Reviewer: Andrea Lucchini (Padova) MSC: 20F10 20E10 20F16 20F45 PDF BibTeX XML Cite \textit{A. Belov} and \textit{A. Erschler}, Isr. J. Math. 233, No. 1, 167--197 (2019; Zbl 1442.20021) Full Text: DOI