Central polynomials of graded algebras: capturing their exponential growth

DOI10.1016/j.jalgebra.2022.02.007zbMath1495.16022OpenAlexW4214550707WikidataQ115571727 ScholiaQ115571727MaRDI QIDQ2118936

Carla Rizzo, Fabrizio Martino, Daniela La Mattina

Publication date: 23 March 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2022.02.007

zbMATH Keywords

exponentpolynomial identitycodimension growthcentral polynomials

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Graded rings and modules (associative rings and algebras) (16W50) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Kemer's theory for \(H\)-module algebras with application to the PI exponent
• The central polynomials for the Grassmann algebra.
• Graded polynomial identities and codimensions: computing the exponential growth.
• Wreath products and P.I. algebras
• Exponential codimension growth of PI algebras: an exact estimate
• Growth of central polynomials of verbally prime algebras
• Central polynomials and growth functions
• Growth for algebras satisfying polynomial identities.
• Representability and Specht problem for \(G\)-graded algebras.
• Minimal varieties of PI-superalgebras with graded involution
• Identities and central polynomials with involution for the Grassmann algebra
• A characterization of minimal varieties of \(\mathbb{Z}_p\)-graded PI algebras
• Almost polynomial growth: classifying varieties of graded algebras.
• Minimal algebras with respect to their *-exponent.
• Central polynomials for matrix rings
• Multialternating graded polynomials and growth of polynomial identities
• Graded polynomial identities and exponential growth
• Identities of PI-Algebras Graded by a Finite Abelian Group
• Identities of associative algebras
• The wedderburn-malcev theorem for comodule algebras
• Codimension growth and minimal superalgebras
• Central polynomials of associative algebras and their growth
• Finite-dimensional simple graded algebras
• Growth of central polynomials of algebras with involution

This page was built for publication: Central polynomials of graded algebras: capturing their exponential growth