CLASSIFICATION OF RINGS SATISFYING SOME HERSTEIN'S CONDITION ON THE SET OF ALL NON-NILPOTENTS

DOI10.1081/AGB-120004479zbMath1013.16021OpenAlexW2045462657MaRDI QIDQ3146306

Takasi Nagahara, Adil Yaqub

Publication date: 5 November 2002

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

Full work available at URL: https://doi.org/10.1081/agb-120004479

zbMATH Keywords

idempotentscommutativity theoremscentersnilpotentssemi-primary ringscomplete primary rings

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Cites Work

• Elementary proofs of a theorem of Wedderburn and a theorem of Jacobson
• A representation of generalized Boolean rings
• Structure theory for algebraic algebras of bounded degree
• A Generalization of a Theorem of Jacobson III
• Unnamed Item

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