Weakly Clean Ideal
Rings and Algebras
2017-05-01 v1
Abstract
Motivated by the concept of clean ideals, we introduce the notion of weakly clean ideals. We define an ideal of a ring to be weakly clean ideal if for any , or , where is a unit in and is an idempotent in . We discuss various properties of weakly clean ideals.
Keywords
Cite
@article{arxiv.1704.08814,
title = {Weakly Clean Ideal},
author = {Ajay Sharma and Dhiren Kumar Basnet},
journal= {arXiv preprint arXiv:1704.08814},
year = {2017}
}