Rings Whose Non-Invertible Elements are Weakly Nil-Clean

Published 14 Jul 2024 in math.RA and math.RT | (2407.10232v1)

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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