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arXiv · 2407.10232

Rings Whose Non-Invertible Elements are Weakly Nil-Clean

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

In regard to our recent studies of rings with (strongly, weakly) nil-clean-like properties, we explore in-depth both the structural and characterization properties of those rings whose elements that are not units are weakly nil-clean. Group rings of this sort are considered and described as well.

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Peter Danchev, Arash Javan, Omid Hasanzadeh, Ahmad Moussavi. 2024-07-14. Rings Whose Non-Invertible Elements are Weakly Nil-Clean. https://arxiv.org/abs/2407.10232

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