Rings virtually satisfying a polynomial identity.

DOI10.1016/j.jpaa.2004.11.008zbMath1074.16013OpenAlexW2008237590MaRDI QIDQ1779456

Alireza Abdollahi, Saieed Akbari

Publication date: 1 June 2005

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.11.008

zbMATH Keywords

commutativity theoremsrings with polynomial identityrings with potent elementsvirtually PI-rings

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Cites Work

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• An analogue for rings of a group problem of P. Erdős and B. H. Neumann
• A characterization of infinite \(3\)-Abelian groups
• Infinite groups in a given variety and ramsey's theorem
• Rings with finitely many nilpotent elements
• On a combinatorial problem in varieties of groups
• Rings with a polynomial identity

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