Left-right cleanness and nil cleanness in unital rings

DOI10.26516/1997-7670.2019.27.28zbMath1446.16044OpenAlexW2923077815WikidataQ128166579 ScholiaQ128166579MaRDI QIDQ2272877

Peter V. Danchev

Publication date: 17 September 2019

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: http://mathizv.isu.ru/en/article/file?id=1289

zbMATH Keywords

clean ringsL-clean ringsL-nil clean ringsnil clean ringsR-clean ringsR-nil clean rings

Mathematics Subject Classification ID

Conditions on elements (16U99) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (2)

A symmetric generalization of \(\pi\)-regular rings ⋮ Symmetrization in Clean and Nil-Clean Rings

Cites Work

• Unnamed Item
• Nil-clean and strongly nil-clean rings.
• Nil-clean matrix rings
• Nil clean rings.
• A CHARACTERIZATION OF UNIT REGULAR RINGS
• Rings with unipotent units
• On two open problems about strongly clean rings
• Strongly clean rings and fitting's lemma
• Exchange rings, units and idempotents
• Connections between unit-regularity, regularity, cleanness, and strong cleanness of elements and rings

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