Minimal varieties of associative PI (super)-algebras with respect to their (graded) exponent

DOI10.1007/s40863-015-0030-4zbMath1371.16025OpenAlexW2264828165WikidataQ108682386 ScholiaQ108682386MaRDI QIDQ2404202

Ernesto Spinelli, Onofrio Mario di Vincenzo

Publication date: 18 September 2017

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40863-015-0030-4

zbMATH Keywords

exponentcodimension growthgraded polynomial identitiesminimal varieties

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) Graded rings and modules (associative rings and algebras) (16W50) (T)-ideals, identities, varieties of associative rings and algebras (16R10) ``Super (or ``skew) structure (16W55)

Related Items (1)

Comparing the \(\mathbb{Z}_2\)-graded identities of two minimal superalgebras with the same superexponent

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Graded polynomial identities on upper block triangular matrix algebras.
• Minimal supervarieties with factorable ideal of graded polynomial identities.
• Identities and isomorphisms of graded simple algebras.
• Graded polynomial identities and codimensions: computing the exponential growth.
• Wreath products and P.I. algebras
• 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 varieties of algebras of exponential growth.
• Gradings on the algebra of upper triangular matrices and their graded identities.
• On some minimal supervarieties of exponential growth.
• Graded embeddings of finite dimensional simple graded algebras.
• Representability and Specht problem for \(G\)-graded algebras.
• Existence of identities in \(A \otimes B\)
• POLYNOMIAL IDENTITIES ON SUPERALGEBRAS AND ALMOST POLYNOMIAL GROWTH
• Multialternating graded polynomials and growth of polynomial identities
• On the Existence of the Graded Exponent for Finite Dimensional ℤ_p-graded Algebras
• Polynomial Identities of Finite Dimensional Simple Algebras
• Graded polynomial identities and exponential growth
• Abelian Gradings on Upper Block Triangular Matrices
• Identities of associative algebras
• Codimension growth and minimal superalgebras
• A characterization of algebras with polynomial growth of the codimensions
• The Polynomial Identities of the Grassman Algebra
• Simple 𝐺-graded algebras and their polynomial identities

This page was built for publication: Minimal varieties of associative PI (super)-algebras with respect to their (graded) exponent