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BI-AMALGAMATED RINGS WITH $m$-CLEAN PROPERTIES
Keywords:
Selected: clean rings, $m$-clean rings, amalgamated rings, bi-amalgamated rings.DOI:
https://doi.org/10.17654/0972087123012Abstract
In this paper, we study the transfer of the notion of $m$-clean ring (i.e., a ring in which every element is a sum of a unit and an $m$-potent element) to the amalgamated and bi-amalgamated rings. We also find many sufficient and necessary conditions for the m-clean property of the amalgamated and bi-amalgamated rings.
Received: March 7, 2023
Accepted: May 31, 2023
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