On a Combinatorial Commutativity Condition for Rings

DOI10.1080/00927871003596230zbMath1221.16027OpenAlexW2049398020MaRDI QIDQ3084565

Howard E. Bell, Yuan Lin Li

Publication date: 25 March 2011

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

Full work available at URL: https://doi.org/10.1080/00927871003596230

zbMATH Keywords

commutativity theoremsgroups of unitssubdirectly irreducible rings\(B_k\)-rings\(B_k\)-groups

Mathematics Subject Classification ID

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) Generalizations of commutativity (associative rings and algebras) (16U80) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Units, groups of units (associative rings and algebras) (16U60)

Cites Work

• On rings with redundancy in multiplication
• On two- and three-element subsets of groups
• COMBINATORIAL COMMUTATIVITY AND FINITENESS CONDITIONS FOR RINGS
• On Reversible Group Rings
• On Duo Rings
• A Theorem on Rings

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