Superalgebras: polynomial identities and asymptotics
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Publication:2136924
DOI10.1016/j.jalgebra.2022.04.016zbMath1503.16026OpenAlexW4225275600MaRDI QIDQ2136924
Antonio Giambruno, Daniela La Mattina
Publication date: 16 May 2022
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2022.04.016
Growth rate, Gelfand-Kirillov dimension (16P90) Other kinds of identities (generalized polynomial, rational, involution) (16R50) (T)-ideals, identities, varieties of associative rings and algebras (16R10) ``Super (or ``skew) structure (16W55)
Cites Work
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- On the codimension sequence of \(G\)-simple algebras.
- Graded polynomial identities on upper block triangular matrix algebras.
- The polynomial part of the codimension growth of affine PI algebras
- Varieties of superalgebras of almost polynomial growth.
- Codimensions and trace codimensions of matrices are asymptotically equal
- Varieties of almost polynomial growth: classifying their subvarieties.
- Properties of hook Schur functions with applications to P. I. algebras
- Graded polynomial identities and codimensions: computing the exponential growth.
- Matrix algebras of polynomial codimension growth.
- Polynomial growth and identities of superalgebras and star-algebras.
- Wreath products and P.I. algebras
- Asymptotic estimates using probability
- On codimension growth of finitely generated associative algebras
- Exponential codimension growth of PI algebras: an exact estimate
- Polynomial identities on superalgebras and exponential growth
- Minimal superalgebras generating minimal supervarieties
- PI-algebras with slow codimension growth.
- Representability and Specht problem for \(G\)-graded algebras.
- A characterization of minimal varieties of \(\mathbb{Z}_p\)-graded PI algebras
- Polynomial identities on superalgebras: classifying linear growth.
- Existence of identities in \(A \otimes B\)
- Multialternating graded polynomials and growth of polynomial identities
- Graded polynomial identities and exponential growth
- Asymptotic behaviour of codimensions of p. i. algebras satisfying Capelli identities
- Codimension growth and minimal superalgebras
- Understanding star-fundamental algebras
- Star-fundamental algebras: polynomial identities and asymptotics
- Classifying the Minimal Varieties of Polynomial Growth
- Growth of polynomial identities: is the sequence of codimensions eventually non-decreasing?
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