Rings with xn + x or xn − x nilpotent

DOI10.1142/S021949882350024XOpenAlexW3208813132MaRDI QIDQ5872584

A. N. Abyzov, D. T. Tapkin, Peter V. Danchev

Publication date: 2 January 2023

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

Full work available at URL: https://doi.org/10.1142/s021949882350024x

zbMATH Keywords

fieldspolynomialsJacobson radicalringsnilpotents

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) 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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• Commutative weakly nil clean unital rings.
• Strongly \(q\)-nil-clean 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
• WEAKLY SEMI-BOOLEAN UNITAL RINGS
• Strongly weakly nil-clean rings
• Rings with xn − x nilpotent
• Some new characterizations of periodic rings
• A Characterization of Weakly J(n)-Rings
• On rings with xn − x nilpotent

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