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Abstract A ring R is a strongly 2-nil-clean if every element in R is the sum of two idempotents and a nilpotent that commute. A ring R is feebly clean… Click to show full abstract
Abstract A ring R is a strongly 2-nil-clean if every element in R is the sum of two idempotents and a nilpotent that commute. A ring R is feebly clean if every element in R is the sum of two orthogonal idempotents and a unit. In this article, strongly 2-nil-clean rings are studied with an emphasis on their relations with feebly clean rings. This work shows new interesting connections between strongly 2-nil-clean rings and weakly exchange rings.
Keywords:
rings additively;
strongly nil;
clean rings;
generated idempotents;
nil clean;
additively generated
Journal Title: Communications in Algebra
Year Published: 2020
Link to full text (if available)
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Journal Title: Communications in Algebra
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!