Generalizations of UU-rings, UJ-rings and UNJ-rings

DOI10.1142/S0219498823501025OpenAlexW4213415220MaRDI QIDQ5883799

Yiqiang Zhou

Publication date: 23 March 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498823501025

zbMATH Keywords

idempotentJacobson radicalunitnilpotent\(U_{\mathcal{G}}J\)-ring\(U_{\mathcal{G}}NJ\)-ring\(U_{\mathcal{G}}U\)-ringsemi \(\mathcal{G}\)-Boolean ringstrongly nil \(\mathcal{G}\)-clean ring

Mathematics Subject Classification ID

Conditions on elements (16U99) Jacobson radical, quasimultiplication (16N20) Units, groups of units (associative rings and algebras) (16U60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Cites Work

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• Nil-clean and strongly nil-clean rings.
• Nil clean rings.
• Weakly clean rings and almost clean rings
• Radicals and Morita contexts
• Clean general rings.
• Rings in which every element is either a sum or a difference of a nilpotent and an idempotent
• Rings with unipotent units
• Conjugate (nil) clean rings and Köthe’s problem
• A CLASS OF EXCHANGE RINGS
• Lifting Idempotents and Exchange Rings
• OnUJ-rings
• Rings in which every unit is a sum of a nilpotent and an idempotent
• Nil 𝒢-cleanness and strongly nil 𝒢-cleanness of rings
• UNJ-Rings

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