Author:
Mahmood Ali Sh.,Mohammed Ibraheem Zubaida
Abstract
In this article, an element w of an associative ring R is called m-regular nil clean or m-rnc if expressed as w = am + b where am is m-regular element and b is a nilpotent element. R is named m-regular nil clean ring or m-rnc ring. If all the elements of a ring R are m-rnc, some characteristics and basic properties of m-rnc rings are presented in this work.
Reference11 articles.
1. Chen Weixing, (2008), “on clean rings and clean elements”, in Southeast Asian Bullet usin of Mathematics, PP. (2998)3200-60
2. Ashrafi N. and Nasibij E. (2011) “R-clean Rings”, arxivfrefr. arxiv 1704. 2167.
3. Nil clean rings
4. Lifting idempotents and exchange rings
5. Generalized regular rings