Amalgamated rings with m-nil clean properties

Vijayanand Venkatachalam, Selvaraj Chelliah

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

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References


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DOI: http://dx.doi.org/10.23755/rm.v48i0.1133

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