Differential identities and polynomial growth of the codimensions

DOI10.1007/s10468-022-10163-0arXiv1812.08715MaRDI QIDQ6070285

Carla Rizzo, Ana Cristina Vieira, Rafael Bezerra Dos Santos

Publication date: 20 November 2023

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.08715

zbMATH Keywords

differential identityvariety of algebraspolynomial identitycodimension growth

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Derivations, actions of Lie algebras (16W25) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Cites Work

• Unnamed Item
• Unnamed Item
• Finitely generated algebras with involution and multiplicities bounded by a constant.
• Group graded algebras and almost polynomial growth.
• Growth of differential identities
• Differential identities of semiprime rings
• T-ideals with power growth of the codimensions are Specht
• On codimension growth of finitely generated associative algebras
• Exponential codimension growth of PI algebras: an exact estimate
• A characterization of P. I. algebras with bounded multiplicities of the cocharacters
• Differential identities, \(2 \times 2\) upper triangular matrices and varieties of almost polynomial growth
• Group graded algebras and multiplicities bounded by a constant.
• Derivations, gradings, actions of algebraic groups, and codimension growth of polynomial identities.
• Algebras with involution and multiplicities bounded by a constant
• The Grassmann algebra and its differential identities
• Graded algebras with polynomial growth of their codimensions.
• Asymptotics of \(H\)-identities for associative algebras with an \(H\)-invariant radical.
• Existence of identities in \(A \otimes B\)
• POLYNOMIAL IDENTITIES ON SUPERALGEBRAS AND ALMOST POLYNOMIAL GROWTH
• A characterization of algebras with polynomial growth of the codimensions
• Finitely Generated PI-Superalgebras with Bounded Multiplicities of the Cocharacters
• Semi-Simple Algebras and Generalized Derivations