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Mathematics > Rings and Algebras

arXiv:2202.02127 (math)
[Submitted on 4 Feb 2022]

Title:Rings generated by idempotents and nilpotents

Authors:Huanyin Chen, Marjan Sheibani Abdolyousefi
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Abstract:We present new characterizations of the rings in which every element is the sum of two idempotents and a nilpotent that commute, and the rings in which every element is the sum of two tripotents and a nilpotent that commute. We prove that such rings are completely determined by the additive decompositions of their square elements.
Subjects: Rings and Algebras (math.RA)
Cite as: arXiv:2202.02127 [math.RA]
  (or arXiv:2202.02127v1 [math.RA] for this version)
  https://doi.org/10.48550/arXiv.2202.02127

Submission history

From: Marjan Sheibani Abdolyousefi [view email]
[v1] Fri, 4 Feb 2022 13:36:50 UTC (6 KB)
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