Semisimple algebras and PI-invariants of finite dimensional algebras

DOI10.2140/ant.2024.18.133arXiv2112.10236OpenAlexW4388920536MaRDI QIDQ6071806

Yakov Karasik, Eli Aljadeff

Publication date: 29 November 2023

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.10236

zbMATH Keywords

graded algebraspolynomial identities\(T\)-idealsemisimplefull algebras

Mathematics Subject Classification ID

Graded rings and modules (associative rings and algebras) (16W50) (T)-ideals, identities, varieties of associative rings and algebras (16R10) ``Super (or ``skew) structure (16W55)

Cites Work

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• Kemer's theorem for affine PI algebras over a field of characteristic zero.
• On codimension growth of finitely generated associative algebras
• Graded polynomial identities as identities of universal algebras
• Graded embeddings of finite dimensional simple graded algebras.
• Representability and Specht problem for \(G\)-graded algebras.
• On generic \(G\)-graded Azumaya algebras
• Full quivers of representations of algebras
• Application of Full Quivers of Representations of Algebras, to Polynomial Identities
• The local finite basis property and local representability of varieties of associative rings
• Finite-dimensional simple graded algebras
• Structure of Zariski-closed algebras
• 𝐺-graded central polynomials and 𝐺-graded Posner’s theorem
• Simple 𝐺-graded algebras and their polynomial identities

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