Amalgamated rings with m-nil clean properties

Vijayanand Venkatachalam, Selvaraj Chelliah


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.


Clean ring; nil-clean m-clean; m-nil clean; m-potent

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