paper

Rings Whose Non-Invertible Elements are Weakly Nil-Clean

arXiv:2407.10232

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.

24 pages

Rings Whose Non-Invertible Elements are Weakly Nil-Clean · wovepaper