On sums of \textit{gr}-PI algebras

DOI10.1016/j.laa.2023.08.003arXiv2307.06112MaRDI QIDQ6051141

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Publication date: 19 September 2023

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.06112

zbMATH Keywords

polynomial identitiesPI algebrasgraded codimensionssums of graded algebras

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) Graded rings and modules (associative rings and algebras) (16W50) Rings with polynomial identity (16R99)

Cites Work

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• Zur Nilpotenz gewisser assoziativer Ringe
• The representations of \(S_n\) and explicit identities for P. I. algebras
• Group-graded algebras with polynomial identity
• A ring which is a sum of two PI subrings is always a PI ring
• On rings which are sums of two PI-subrings: a combinatorial approach.
• Identities of sums of commutative subalgebras
• Generalized polynomial identities and rings which are sums of two subrings
• Identities in rings with involutions
• Existence of identities in \(A \otimes B\)
• RINGS WHICH ARE SUMS OF TWO SUBRINGS SATISFYING POLYNOMIAL IDENTITIES
• The Jacobian Conjecture, Together with Specht and Burnside-Type Problems
• Actions of Commutative Hopf Algebras
• Identities of associative algebras

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