Symmetrization in Clean and Nil-Clean Rings

DOI10.18500/1816-9791-2020-20-2-154-160zbMath1465.16041OpenAlexW3045391820MaRDI QIDQ5140743

Peter V. Danchev

Publication date: 16 December 2020

Published in: Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/isu835

zbMATH Keywords

symmetrizationweakly nil-clean ringsL-clean ringsR-clean ringsD-clean rings

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Conditions on elements (16U99)

Related Items (1)

A symmetric generalization of \(\pi\)-regular rings

Cites Work

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• Weakly UU rings
• Generalizing \(\pi\)-regular rings
• Generalizing nil clean rings
• Commutative weakly nil clean unital rings.
• Left-right cleanness and nil cleanness in unital rings
• Nil clean rings.
• Rings in which every element is either a sum or a difference of a nilpotent and an idempotent
• Rings with unipotent units
• Lifting Idempotents and Exchange Rings
• Strongly clean rings and fitting's lemma
• Nil-clean quadratic elements
• Rings with xn − x nilpotent
• A generalization of -regular rings

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