Valenti, Angela; Mishchenko, Sergey Nilpotent varieties and metabelian varieties. (English) Zbl 1528.17004 Turk. J. Math. 46, No. 5, SI-2, 2023-2033 (2022). Reviewer: Victor Petrogradsky (Brasília) MSC: 17A30 16R10 16P90 PDFBibTeX XMLCite \textit{A. Valenti} and \textit{S. Mishchenko}, Turk. J. Math. 46, No. 5, 2023--2033 (2022; Zbl 1528.17004) Full Text: DOI
Mishchenko, Sergey P.; Valenti, Angela On almost nilpotent varieties of linear algebras. (English) Zbl 1490.17005 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, 291-317 (2021). Reviewer: Victor Petrogradsky (Brasília) MSC: 17A30 16P90 16R10 PDFBibTeX XMLCite \textit{S. P. Mishchenko} and \textit{A. Valenti}, Springer INdAM Ser. 44, 291--317 (2021; Zbl 1490.17005) Full Text: DOI
Bahturin, Yuri Some thoughts on the current state of the theory of identical relations in Lie algebras. (English) Zbl 1489.17005 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, 1-24 (2021). Reviewer: Plamen Koshlukov (Campinas) MSC: 17B01 16R10 17-02 PDFBibTeX XMLCite \textit{Y. Bahturin}, Springer INdAM Ser. 44, 1--24 (2021; Zbl 1489.17005) Full Text: DOI
Zaicev, M. V.; Mishchenko, S. P. Codimension sequences and their asymptotic behavior. (English. Russian original) Zbl 1515.17008 J. Math. Sci., New York 257, No. 6, 825-833 (2021); translation from Fundam. Prikl. Mat. 22, No. 4, 115-127 (2019). Reviewer: Plamen Koshlukov (Campinas) MSC: 17A30 PDFBibTeX XMLCite \textit{M. V. Zaicev} and \textit{S. P. Mishchenko}, J. Math. Sci., New York 257, No. 6, 825--833 (2021; Zbl 1515.17008); translation from Fundam. Prikl. Mat. 22, No. 4, 115--127 (2019) Full Text: DOI
Zaicev, M. V.; Repovš, D. D. Colength growth functions of nonassociative algebras. (English. Russian original) Zbl 1490.17006 Math. Notes 109, No. 3, 405-412 (2021); translation from Mat. Zametki 109, No. 3, 370-379 (2021). Reviewer: Juan Carlos Fernandez (São Paulo) MSC: 17A30 PDFBibTeX XMLCite \textit{M. V. Zaicev} and \textit{D. D. Repovš}, Math. Notes 109, No. 3, 405--412 (2021; Zbl 1490.17006); translation from Mat. Zametki 109, No. 3, 370--379 (2021) Full Text: DOI
Mishchenko, S. P.; Valenti, A. Correspondence between some metabelian varieties and left nilpotent varieties. (English) Zbl 1472.17008 J. Pure Appl. Algebra 225, No. 3, Article ID 106538, 9 p. (2021). Reviewer: Victor Petrogradsky (Brasília) MSC: 17A30 16R10 16P90 20C30 PDFBibTeX XMLCite \textit{S. P. Mishchenko} and \textit{A. Valenti}, J. Pure Appl. Algebra 225, No. 3, Article ID 106538, 9 p. (2021; Zbl 1472.17008) Full Text: DOI
Zaicev, M. V.; Repovš, D. D. The theory of formal languages and identities of nonassociative algebras. (English. Russian original) Zbl 1477.17007 Sib. Math. J. 61, No. 2, 255-260 (2020); translation from Sib. Mat. Zh. 61, No. 2, 322-329 (2020). MSC: 17A30 68R15 PDFBibTeX XMLCite \textit{M. V. Zaicev} and \textit{D. D. Repovš}, Sib. Math. J. 61, No. 2, 255--260 (2020; Zbl 1477.17007); translation from Sib. Mat. Zh. 61, No. 2, 322--329 (2020) Full Text: DOI
Zaicev, M. V.; Repovš, D. D. Identities on algebras and combinatorial properties of binary words. (English. Russian original) Zbl 1477.17006 Dokl. Math. 100, No. 3, 558-559 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 489, No. 5, 449-451 (2019). MSC: 17A30 68R15 PDFBibTeX XMLCite \textit{M. V. Zaicev} and \textit{D. D. Repovš}, Dokl. Math. 100, No. 3, 558--559 (2019; Zbl 1477.17006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 489, No. 5, 449--451 (2019) Full Text: DOI
Gordienko, A. S. On \(H\)-simple not necessarily associative algebras. (English) Zbl 1435.17001 J. Algebra Appl. 18, No. 9, Article ID 1950162, 20 p. (2019). MSC: 17A30 16R10 16R50 16T05 17A36 17A50 18A40 20C30 PDFBibTeX XMLCite \textit{A. S. Gordienko}, J. Algebra Appl. 18, No. 9, Article ID 1950162, 20 p. (2019; Zbl 1435.17001) Full Text: DOI arXiv
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
Giambruno, Antonio; Mishchenko, Sergey; Zaicev, Mikhail Non integral exponential growth of central polynomials. (English) Zbl 1422.16020 Arch. Math. 112, No. 2, 149-160 (2019). Reviewer: Victor Petrogradsky (Brasilia) MSC: 16R10 15A69 16P90 PDFBibTeX XMLCite \textit{A. Giambruno} et al., Arch. Math. 112, No. 2, 149--160 (2019; Zbl 1422.16020) Full Text: DOI
Mishchenko, Sergeĭ Petrovich; Shulezhko, Olesya Vladimirovna Variety with fractional codimension growth and the Specht problem. (Russian. English summary) Zbl 1439.16026 Chebyshevskiĭ Sb. 19, No. 1(65), 176-186 (2018). MSC: 16R10 PDFBibTeX XMLCite \textit{S. P. Mishchenko} and \textit{O. V. Shulezhko}, Chebyshevskiĭ Sb. 19, No. 1(65), 176--186 (2018; Zbl 1439.16026) Full Text: DOI MNR
Repovš, Dušan D.; Zaicev, Mikhail V. Codimension growth of solvable Lie superalgebras. (English) Zbl 1441.17006 J. Lie Theory 28, No. 4, 1189-1199 (2018). Reviewer: Plamen Koshlukov (Campinas) MSC: 17B01 16P90 15A30 16R10 PDFBibTeX XMLCite \textit{D. D. Repovš} and \textit{M. V. Zaicev}, J. Lie Theory 28, No. 4, 1189--1199 (2018; Zbl 1441.17006) Full Text: arXiv Link
Repovš, Dušan D.; Zaicev, Mikhail V. \(\mathbb Z_2\)-graded codimensions of unital algebras. (English) Zbl 1442.17004 Int. J. Algebra Comput. 28, No. 3, 483-500 (2018). Reviewer: Vesselin Drensky (Sofia) MSC: 17A30 17A50 16P90 17B01 17B70 16R10 05A05 68R15 PDFBibTeX XMLCite \textit{D. D. Repovš} and \textit{M. V. Zaicev}, Int. J. Algebra Comput. 28, No. 3, 483--500 (2018; Zbl 1442.17004) Full Text: DOI arXiv
Mishchenko, S. P.; Valenti, A. An uncountable family of almost nilpotent varieties of polynomial growth. (English) Zbl 1431.16019 J. Pure Appl. Algebra 222, No. 7, 1758-1764 (2018). MSC: 16P90 16R10 17A50 20C30 PDFBibTeX XMLCite \textit{S. P. Mishchenko} and \textit{A. Valenti}, J. Pure Appl. Algebra 222, No. 7, 1758--1764 (2018; Zbl 1431.16019) Full Text: DOI arXiv
Repovš, Dušan; Zaicev, Mikhail Identities of graded simple algebras. (English) Zbl 1373.17007 Linear Multilinear Algebra 65, No. 1, 44-57 (2017). Reviewer: Plamen Koshlukov (Campinas) MSC: 17B01 16P90 16R10 PDFBibTeX XMLCite \textit{D. Repovš} and \textit{M. Zaicev}, Linear Multilinear Algebra 65, No. 1, 44--57 (2017; Zbl 1373.17007) Full Text: DOI arXiv Link
Giambruno, Antonio; Mishchenko, Sergey; Valenti, Angela; Zaicev, Mikhail Polynomial codimension growth and the Specht problem. (English) Zbl 1401.17001 J. Algebra 469, 421-436 (2017). Reviewer: Plamen Koshlukov (Campinas) MSC: 17A30 16R10 16P90 PDFBibTeX XMLCite \textit{A. Giambruno} et al., J. Algebra 469, 421--436 (2017; Zbl 1401.17001) Full Text: DOI
Mishchenko, S.; Valenti, Angela Codimension and colength sequences of algebras and growth phenomena. (English) Zbl 1407.17004 São Paulo J. Math. Sci. 10, No. 2, 263-272 (2016). MSC: 17A30 16R10 16P90 PDFBibTeX XMLCite \textit{S. Mishchenko} and \textit{A. Valenti}, São Paulo J. Math. Sci. 10, No. 2, 263--272 (2016; Zbl 1407.17004) Full Text: DOI
Giambruno, Antonio; Zaicev, Mikhail Polynomial identities and algebraic combinatorics on words. (English) Zbl 1370.16015 São Paulo J. Math. Sci. 10, No. 2, 219-227 (2016). MSC: 16R10 16P90 PDFBibTeX XMLCite \textit{A. Giambruno} and \textit{M. Zaicev}, São Paulo J. Math. Sci. 10, No. 2, 219--227 (2016; Zbl 1370.16015) Full Text: DOI
Giambruno, Antonio; Mishchenko, Sergey Degrees of irreducible characters of the symmetric group and exponential growth. (English) Zbl 1382.20016 Proc. Am. Math. Soc. 144, No. 3, 943-953 (2016). MSC: 20C30 05A17 05E10 PDFBibTeX XMLCite \textit{A. Giambruno} and \textit{S. Mishchenko}, Proc. Am. Math. Soc. 144, No. 3, 943--953 (2016; Zbl 1382.20016) Full Text: DOI arXiv
Shulezhko, O. V. Almost nilpotent varieties in different classes of linear algebras. (Russian. English summary) Zbl 1439.17001 Chebyshevskiĭ Sb. 16, No. 1(53), 67-88 (2015). MSC: 17A01 17A32 17B01 08B20 PDFBibTeX XMLCite \textit{O. V. Shulezhko}, Chebyshevskiĭ Sb. 16, No. 1(53), 67--88 (2015; Zbl 1439.17001) Full Text: DOI MNR
Zaicev, M. V. Graded identities in finite-dimensional algebras of codimensions of identities in associative algebras. (English. Russian original) Zbl 1336.16019 Mosc. Univ. Math. Bull. 70, No. 5, 234-236 (2015); translation from Vestn. Mosk. Univ., Ser. I 70, No. 5, 54-57 (2015). MSC: 16R10 16R50 16W50 PDFBibTeX XMLCite \textit{M. V. Zaicev}, Mosc. Univ. Math. Bull. 70, No. 5, 234--236 (2015; Zbl 1336.16019); translation from Vestn. Mosk. Univ., Ser. I 70, No. 5, 54--57 (2015) Full Text: DOI
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
Mishchenko, S. P.; Bogdanchuk, O. A. PI-exponents of some simple algebras with unit. (English. Russian original) Zbl 1378.17001 J. Math. Sci., New York 206, No. 6, 688-693 (2015); translation from Fundam. Prikl. Mat. 18, No. 4, 121-128 (2013). MSC: 17A01 PDFBibTeX XMLCite \textit{S. P. Mishchenko} and \textit{O. A. Bogdanchuk}, J. Math. Sci., New York 206, No. 6, 688--693 (2015; Zbl 1378.17001); translation from Fundam. Prikl. Mat. 18, No. 4, 121--128 (2013) Full Text: DOI
Bezushchak, O. E.; Belyaev, A. A.; Zaĭtsev, M. V. Codimension growth of algebras with adjoint unit. (English. Russian original) Zbl 1357.17002 J. Math. Sci., New York 206, No. 5, 462-473 (2015); translation from Fundam. Prikl. Mat. 18, No. 3, 11-26 (2013). MSC: 17A30 PDFBibTeX XMLCite \textit{O. E. Bezushchak} et al., J. Math. Sci., New York 206, No. 5, 462--473 (2015; Zbl 1357.17002); translation from Fundam. Prikl. Mat. 18, No. 3, 11--26 (2013) Full Text: DOI
Mishchenko, S.; Valenti, A. On almost nilpotent varieties of subexponential growth. (English) Zbl 1333.17001 J. Algebra 423, 902-915 (2015). MSC: 17A30 PDFBibTeX XMLCite \textit{S. Mishchenko} and \textit{A. Valenti}, J. Algebra 423, 902--915 (2015; Zbl 1333.17001) Full Text: DOI
Zaitsev, M. V.; Repovš, D. A four-dimensional simple algebra with fractional PI-exponent. (English. Russian original) Zbl 1387.17003 Math. Notes 95, No. 4, 487-499 (2014); translation from Mat. Zametki 95, No. 4, 538-553 (2014). MSC: 17A01 PDFBibTeX XMLCite \textit{M. V. Zaitsev} and \textit{D. Repovš}, Math. Notes 95, No. 4, 487--499 (2014; Zbl 1387.17003); translation from Mat. Zametki 95, No. 4, 538--553 (2014) Full Text: DOI arXiv
Zaitsev, M. V. Identities of unitary finite-dimensional algebras. (English. Russian original) Zbl 1273.16020 Algebra Logic 50, No. 5, 381-404 (2011); translation from Algebra Logika 50, No. 5, 563-594 (2011). Reviewer: Victor Petrogradsky (Brasilia) MSC: 16R10 17A30 16P90 17A01 PDFBibTeX XMLCite \textit{M. V. Zaitsev}, Algebra Logic 50, No. 5, 381--404 (2011; Zbl 1273.16020); translation from Algebra Logika 50, No. 5, 563--594 (2011) Full Text: DOI
Valenti, Angela Group graded algebras and almost polynomial growth. (English) Zbl 1248.16022 J. Algebra 334, No. 1, 247-254 (2011). Reviewer: Victor Petrogradsky (Ulyanovsk) MSC: 16R10 16P90 15A75 16W50 16R50 PDFBibTeX XMLCite \textit{A. Valenti}, J. Algebra 334, No. 1, 247--254 (2011; Zbl 1248.16022) Full Text: DOI
Giambruno, Antonio; Shestakov, Ivan; Zaicev, Mikhail Finite-dimensional non-associative algebras and codimension growth. (English) Zbl 1290.17028 Adv. Appl. Math. 47, No. 1, 125-139 (2011). Reviewer: Vesselin Drensky (Sofia) MSC: 17C05 17C20 17D05 16P90 16R10 PDFBibTeX XMLCite \textit{A. Giambruno} et al., Adv. Appl. Math. 47, No. 1, 125--139 (2011; Zbl 1290.17028) Full Text: DOI
Giambruno, Antonio; Zaicev, Mikhail Codimension growth of special simple Jordan algebras. (English) Zbl 1205.17032 Trans. Am. Math. Soc. 362, No. 6, 3107-3123 (2010). Reviewer: Plamen Koshlukov (Campinas) MSC: 17C05 16R10 PDFBibTeX XMLCite \textit{A. Giambruno} and \textit{M. Zaicev}, Trans. Am. Math. Soc. 362, No. 6, 3107--3123 (2010; Zbl 1205.17032) Full Text: DOI
Mishchenko, S. S. On growth of varieties of commutative linear algebras. (English. Russian original) Zbl 1288.13005 J. Math. Sci., New York 163, No. 6, 739-742 (2009); translation from Fundam. Prikl. Mat. 14, No. 5, 165-170 (2008). MSC: 13A99 PDFBibTeX XMLCite \textit{S. S. Mishchenko}, J. Math. Sci., New York 163, No. 6, 739--742 (2009; Zbl 1288.13005); translation from Fundam. Prikl. Mat. 14, No. 5, 165--170 (2008) Full Text: DOI
Zaĭtsev, M. V.; Mishchenko, S. P. Identities for Lie superalgebras with a nilpotent commutator subalgebra. (Russian, English) Zbl 1178.17005 Algebra Logika 47, No. 5, 617-645 (2008); translation in Algebra Logic 47, No. 5, 348-364 (2008). Reviewer: Plamen Koshlukov (Campinas) MSC: 17B01 16R10 17B50 17B65 16R20 16R30 16R40 PDFBibTeX XMLCite \textit{M. V. Zaĭtsev} and \textit{S. P. Mishchenko}, Algebra Logika 47, No. 5, 617--645 (2008; Zbl 1178.17005); translation in Algebra Logic 47, No. 5, 348--364 (2008) Full Text: DOI
Giambruno, A.; Mishchenko, S.; Zaicev, M. Codimensions of algebras and growth functions. (English) Zbl 1133.17001 Adv. Math. 217, No. 3, 1027-1052 (2008). Reviewer: Victor Petrogradsky (Ulyanovsk) MSC: 17A01 17A50 16R10 17B01 16P90 PDFBibTeX XMLCite \textit{A. Giambruno} et al., Adv. Math. 217, No. 3, 1027--1052 (2008; Zbl 1133.17001) Full Text: DOI Link
Giambruno, A.; Mishchenko, S.; Zaicev, M. Codimension growth of two-dimensional non-associative algebras. (English) Zbl 1156.17001 Proc. Am. Math. Soc. 135, No. 11, 3405-3415 (2007). Reviewer: Plamen Koshlukov (Campinas) MSC: 17A50 16R10 16P90 PDFBibTeX XMLCite \textit{A. Giambruno} et al., Proc. Am. Math. Soc. 135, No. 11, 3405--3415 (2007; Zbl 1156.17001) Full Text: DOI
Zaitsev, M. V.; Mishchenko, S. P. Colength of varieties of linear algebras. (English) Zbl 1114.17001 Math. Notes 79, No. 4, 511-517 (2006); translation from Mat. Zametki 79, No. 4, 553-559 (2006). Reviewer: Vesselin Drensky (Sofia) MSC: 17A50 17A30 16R10 20C30 PDFBibTeX XMLCite \textit{M. V. Zaitsev} and \textit{S. P. Mishchenko}, Math. Notes 79, No. 4, 511--517 (2006; Zbl 1114.17001); translation from Mat. Zametki 79, No. 4, 553--559 (2006) Full Text: DOI