Rings Whose Non-Invertible Elements are Weakly Nil-Clean

2024/07/14 by Danchev, Peter, Javan, Arash, Hasanzadeh, Omid +1
#FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/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.

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• Rings Whose Non-Invertible Elements Are Nil-Clean
• Rings Whose Clean and Nil-Clean Elements Have Some Clean-Like Properties