Some results on commutativity and anti-commutativity in rings

DOI10.1007/BF01874943zbMath0806.16035OpenAlexW2085774713MaRDI QIDQ1320457

Howard E. Bell

Publication date: 5 June 1994

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01874943

zbMATH Keywords

commutativity theoremsnilpotent elementscommutative ringssubdirect productperiodic ringanti-centeranti-commutative ringsanti-commutator

Mathematics Subject Classification ID

Associative rings of functions, subdirect products, sheaves of rings (16S60) Finite rings and finite-dimensional associative algebras (16P10) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) 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 (1)

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Cites Work

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• On some commutativity theorems of Herstein
• An Anticommutativity Consequence of a Ring Commutativity Theorem of Herstein
• On commutativity of periodic rings and near-rings
• Structure of Rings Satisfying Certain Identities on Commutators
• The Structure of a Certain Class of Rings
• A note on rings with central nilpotent elements

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