A setwise commutativity property for rings

DOI10.1080/00927879708825904zbMath0884.16020OpenAlexW2037213379MaRDI QIDQ4361102

Howard E. Bell

Publication date: 29 March 1998

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879708825904

zbMATH Keywords

identitiescommutativity theoremsnilpotent elementscommutator idealszero divisorsperiodic elements\(P_ n\)-rings

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) Generalizations of commutativity (associative rings and algebras) (16U80) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Related Items (2)

Commutativity of Near-rings with Derivations ⋮ Commutativity conditions for rings: 1950-2005.

Cites Work

• Quasi-centers, quasi-commutators, and ring commutativity
• On some commutativity theorems of Herstein
• A new proof of a result of Levitzki
• A Commutativity Condition for Rings
• A Generalization of a Theorem of Jacobson III

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