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arXiv · 2405.09961

Rings Whose Non-Invertible Elements Are Nil-Clean

Peter Danchev·Arash Javan·Omid Hasanzadeh·Ahmad Moussavi
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Abstract

We systematically study those rings whose non-units are a sum of an idempotent and a nilpotent. Some crucial characteristic properties are completely described as well as some structural results for this class of rings are obtained. This work somewhat continues two publications on the subject due to Diesl (J. Algebra, 2013) and Karimi-Mansoub et al. (Contemp. Math., 2018).

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Peter Danchev, Arash Javan, Omid Hasanzadeh, Ahmad Moussavi. 2024-05-16. Rings Whose Non-Invertible Elements Are Nil-Clean. https://arxiv.org/abs/2405.09961

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