Nearring multiplications on groups

DOI10.1080/00927879508825264zbMath0832.16036OpenAlexW2022388656MaRDI QIDQ4327997

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Publication date: 18 December 1995

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

Full work available at URL: https://doi.org/10.1080/00927879508825264

zbMATH Keywords

idempotentsendomorphismsadditive groupsfirst order properties\(S\)-actscentralizer nearringsnon-trivial near-ring multiplicationstrivial nearring multiplications

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Near-rings (16Y30) Automorphisms of infinite groups (20E36) Connections of semigroups with homological algebra and category theory (20M50) General radicals and associative rings (16N80) Applications of logic in associative algebras (16B70)

Related Items (1)

Konstantin Igorevich Beidar (1951-2004)

Cites Work

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• The centralizer of a group endomorphism
• d.g. near rings on certain groups
• The centralizer of a group automorphism
• The near-rings on groups of low order
• A condition on near-rings with identity
• The near-rings hosted by a class of groups
• On the multiplicative semigroups of rings
• Near-Rings with Trivial Multiplications
• The group of left distributive multiplications on an Abelian group
• ON THE CONSTRUCTION OF FINITE LOCAL NEAR-RINGS (I): ON NON-CYCLIC ABELIAN p-GROUPS
• ON THE CONSTRUCTION OF FINITE LOCAL NEAR-RINGS (II): ON NON-ABELIAN p-GROUPS
• Research in near-ring theory using a digital computer
• Concerning nil groups for near-rings
• Generalised quaternion groups and distributively generated near-rings
• DISTRIBUTIVE NEAR-RINGS

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