Affiliation:
1. H. L. Wilkes Honors College, Florida Atlantic University, Jupiter, Fl 33458, USA
Abstract
In [A. J. Diesl, Classes of strongly clean rings, Ph.D. Dissertation, University of California, Berkely (2006); Nil clean rings, J. Algebra383 (2013) 197–211], a nil clean ring was defined as a ring for which every element is the sum of a nilpotent and an idempotent. In this short paper, we characterize nil clean commutative group rings.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
21 articles.
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1. Semigroup rings which are strongly nil-clean;Journal of Algebra and Its Applications;2024-04-10
2. On weak zero-clean rings;International Journal of Algebra and Computation;2022-11-10
3. Nil-Clean Rings with Involution;Algebra Colloquium;2021-07-26
4. A multiplicative dual of nil-clean rings;Canadian Mathematical Bulletin;2021-02-09
5. On nil clean group rings;Communications in Algebra;2020-09-16