On rings with xn − x nilpotent

DOI10.1142/S0219498822501110OpenAlexW3122177707MaRDI QIDQ5863499

D. T. Tapkin, A. N. Abyzov

Publication date: 1 June 2022

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

Full work available at URL: https://doi.org/10.1142/s0219498822501110

zbMATH Keywords

clean ringmatrices over finite fieldsnil-algebrastrongly \(q\)-nil-clean ring

Mathematics Subject Classification ID

Conditions on elements (16U99)

Related Items (2)

Generalized Zhou inverses in rings ⋮ Rings with xn + x or xn − x nilpotent

Cites Work

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• Strongly \(q\)-nil-clean rings
• On some matrix analogs of the little Fermat theorem
• Nil-clean matrix rings
• Nil clean rings.
• Rings in which Every Element is a Sum of Two Tripotents
• Conjugate (nil) clean rings and Köthe’s problem
• Rings in which elements are sums of tripotents and nilpotents
• Lifting Idempotents and Exchange Rings
• Strongly clean rings and fitting's lemma
• Rings in which elements are sums of nilpotents, idempotents and tripotents
• Rings with xn − x nilpotent
• Strongly 2-nil-clean rings
• Logical connections between some open problems concerning nil rings

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