Kemer's theorem for affine PI algebras over a field of characteristic zero.
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Publication:258132
DOI10.1016/j.jpaa.2015.12.008zbMath1342.16017arXiv1502.04298OpenAlexW1768668488MaRDI QIDQ258132
Eli Aljadeff, Yaakov Karasik, Alexei Kanel-Belov
Publication date: 17 March 2016
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1502.04298
(T)-ideals, identities, varieties of associative rings and algebras (16R10) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)
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Cites Work
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- Finite basis property of identities of associative algebras
- Minimal varieties of algebras of exponential growth.
- Representability and Specht problem for \(G\)-graded algebras.
- Identities of PI-Algebras Graded by a Finite Abelian Group
- On theorems of A. I. Mal'tsev concerning matrix representations of algebras
- The radical in a finitely generated P. I. algebra
- Identities of associative algebras
- Algebras satisfying Capelli identities
- Rings with a polynomial identity