Rings generalized by tripotents and nilpotents

DOI10.21136/CMJ.2022.0427-21MaRDI QIDQ5878457

Marjan Sheibani Abdolyousefi, Huanyin Chen, Nahid Ashrafi

Publication date: 21 February 2023

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

nilpotentexchange ringtripotent2-idempotent

Mathematics Subject Classification ID

Conditions on elements (16U99) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Commutative ring extensions and related topics (13B99)

Cites Work

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• Nil-clean and strongly nil-clean rings.
• Strongly \(q\)-nil-clean rings
• Nil clean rings.
• Rings in which Every Element is a Sum of Two Tripotents
• Rings with unipotent units
• Rings in which elements are sums of nilpotents, idempotents and tripotents
• Rings with xn − x nilpotent
• Rings whose Elements are the Sum of a Tripotent and an Element from the Jacobson Radical
• Strongly 2-nil-clean rings

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