Nil Clean Ideal
Rings and Algebras
2017-09-08 v1
Abstract
Motivated by the concept of clean ideals, we introduce the notion of nil clean ideals of a ring. We define an ideal of a ring to be nil clean ideal if every element of can be written as a sum of an idempotent and a nilpotent element of . In this article we discuss various properties of nil clean ideals.
Cite
@article{arxiv.1709.02065,
title = {Nil Clean Ideal},
author = {Ajay Sharma and Dhiren Kumar Basnet},
journal= {arXiv preprint arXiv:1709.02065},
year = {2017}
}