A generalization of centralizer near-rings

DOI10.1017/S0013091500022616zbMath0571.16019MaRDI QIDQ3688519

Kirby C. Smith

Publication date: 1985

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

idempotentsidealgroup of automorphismsaxiomsgeneralized centralizer near-rings

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Near-rings (16Y30) Conditions on elements (16U99) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (4)

The group of units of a gc near-ring ⋮ Distributor and j2-radical ideals of generalized centralizer near-rings ⋮ Distributively generated gc near-rings ⋮ Semiendomorphisms of Simple Near-Rings

Cites Work

• On semisimple rings that are centralizer near-rings
• The centralizer of a set of group automorphisms
• The simplicity of near-rings of mappings
• The Lattice of Left Ideals in a Centralizer Near-Ring is Distributive

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