Rings involving idempotents, units and nilpotent elements
Rings and Algebras
2014-11-04 v1
Abstract
We define the concepts of weakly precious and precious rings which generalize the notions of weakly clean and nil-clean rings. We obtain some fundamental properties of these rings. We also obtain certain subclasses of such rings and then offer new kinds of weakly clean rings and nil-clean rings.
Cite
@article{arxiv.1411.0119,
title = {Rings involving idempotents, units and nilpotent elements},
author = {Nahid Ashrafi and Marjan Sheibani and Huanyin Chen},
journal= {arXiv preprint arXiv:1411.0119},
year = {2014}
}