Amalgamated rings with m-nil clean properties

Abstract

In this paper, we study the transfer of the notion of $m$-nil clean (i.e., a ring in which every element is a sum of a nilpotent and an $m$-potent elements) to the amalgamarted rings. We also find many sufficient and necessary conditions for the $m$-nil clean property to the amalgamated rings.

Keywords

• clean ring
• nil-clean m-clean
• m-nil clean
• m-potent