Nil properties for rings which are sums of their additive subgroups

DOI10.1080/00927879408825139zbMath0816.16020OpenAlexW1980316718MaRDI QIDQ4310020

Andrei V. Kelarev

Publication date: 17 July 1995

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

Full work available at URL: https://doi.org/10.1080/00927879408825139

zbMATH Keywords

nilpotentBaer radicaladditive grouplocally nilpotenthomogeneous sum of subgroupsleft \(T\)-nilpotent

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) Graded rings and modules (associative rings and algebras) (16W50)

Related Items (4)

Applications of epigroups to graded ring theory ⋮ On the Jacobson radical of a groupoid graded ring ⋮ Bergman's lemma for graded rings ⋮ Notes on the graded Jacobson radical: a graded version of the Jacobson stable set

Cites Work

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• A sum of two locally nilpotent rings may be not nil
• Zur Nilpotenz gewisser assoziativer Ringe
• On rings which are sums of two subrings
• Structure of radicals in bands of semigroups
• General polynomial identities. II
• Generalisation du theoreme de van der Waerden sur les semi-groupes repetitifs
• On perfect graded rings
• On radicals of semigroup rings
• Group graded rings
• The preservation of some ring properties by semilattice sums

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