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Linear and Multilinear Algebra Volume 64, 2016 - Issue 3
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Articles

Identities of *-superalgebras and almost polynomial growth

Antonio GiambrunoDipartimento di Matematica e Informatica, Università di Palermo, Palermo, Italy.View further author information
,
Rafael Bezerra dos SantosDepartamento de Matemática, Instituto de Ciências Exatas, Universidade Federal de Minas Gerais, Belo Horizonte, Brazil.View further author information
&
Ana Cristina VieiraDepartamento de Matemática, Instituto de Ciências Exatas, Universidade Federal de Minas Gerais, Belo Horizonte, Brazil.Correspondence[email protected]
View further author information
Pages 484-501 | Received 17 Apr 2015, Accepted 06 May 2015, Published online: 03 Jun 2015

References

  • Berele A. Properties of hook Schur functions with applications to P.I. algebras. Adv. Appl. Math. 2008;41:52–75.
  • Berele A, Regev A. Asymptotic behavior of codimentios of P.I. algebras satisfying Capelli identities. Trans. Am. Math. Soc. 2008;360:5155–5172.
  • Berele A, Regev A. Applications of hook Young diagrams to P.I. algebras. J. Algebra. 1983;82:559–567.
  • Giambruno A, Zaicev M. On codimension growth of finitely generated associative algebras. Adv. Math. 1998;140:145–155.
  • Kemer AR. Varieties of finite rank, Proceedings 15th All the Union Algebraic Conference. Vol. 2 Krasnoyarsk. 1979;73. Russian.
  • Drensky V. Free algebras and PI-algebras, graduate course in algebra. Singapore: Springer-Verlag; 2000.
  • Di Vicenzo OM, Koshlukov P, Valenti A. Gradings on the algebra of upper triangular matrices and their graded identities. J. Algebra. 2004;275:550–566.
  • Valenti A. Group graded algebras and almost polynomial growth. J. Algebra. 2011;334:247–254.
  • Giambruno A, Mishchenko S, Zaicev M. Polynomial identities on superalgebras and almost polynomial growth, Special issue dedicated to Alexei Ivanovich Kostrikin. Comm. Algebra. 2001;29:3787–3800.
  • Giambruno A, Mishchenko S. On star-varieties with almost polynomial growth. Algebra Colloq. 2001;8:33–42.
  • Regev A. Existence of identities in A ⊗ B. Israel J. Math. 1972;11:131–152.
  • Giambruno A, Zaicev M. Polynomial identities and asymptotic methods, mathematical surveys and monographs. Vol. 122. Providence (RI): American Mathematical Society; 2005.
  • Mishchenko S, Valenti A. A star-variety with almost polynomial growth. J. Algebra. 2000;223:66–84.
  • Valenti A. The graded identities of upper triangular matrices of size two. J. Pure Appl. Algebra. 2002;172:325–335.
  • James G, Kerber A. The representation theory of the symmetric group. London: Addison-Wesley; 1981.
  • Taft EJ. Invariant Wedderburn factors. Illinois J. Math. 1957;1:565–573.
  • Rowen LH. Ring theory. Vol. 1. New York (NY): Academic Press; 1988.
  • Giambruno A, Zaicev M. A characterization of algebras with polynomial growth of the codimensions. Proc. Am. Math. Soc. 2000;129:59–67.
  • Giambruno A, Zaicev M. Exponential codimension growth of PI-algebras: an exact estimate. Adv. Math. 1999;142:221–243.

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