On structure and commutativity of certain periodic near rings

DOI10.1007/BF03322330zbMath0793.16034OpenAlexW2000314751MaRDI QIDQ1311021

Mohammad Ashraf

Publication date: 24 August 1994

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322330

zbMATH Keywords

idempotentsnilpotent elementsperiodic near-ringsorthogonal sumleft near-ringpotent elementscommutative 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) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Generalizations of commutativity (associative rings and algebras) (16U80) Near-rings (16Y30) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Cites Work

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• The near-rings on groups of low order
• Structure theory for algebraic algebras of bounded degree
• Distributively Generated Near-Rings: (I. Ideal Theory)
• Certain conditions under which near-rings are rings
• Two Elementary Generalisations of Boolean Rings
• Direct Sum of J-Rings and Zero Rings
• Some commutativity theorems for rings and near rings
• Near-rings in which each element is a power of itself
• Certain Near-Rings are Rings
• A note on rings with central nilpotent elements

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