On Yaqub nil-clean ring
Rings and Algebras
2017-04-04 v1
Abstract
A ring R is Yaqub nil-clean if for any a\in R, a-a^3 or a+a^3 is nilpotent for all a\in R. We prove that a ring R is Yaqub nil-clean if and only if for any a\in R, there exists some e^3=e\in R, such that a-e or a+3e is nilpotent and ae=ea.
Keywords
Cite
@article{arxiv.1704.00213,
title = {On Yaqub nil-clean ring},
author = {Huanyin Chen and Marjan Sheibani Abdolyousefi},
journal= {arXiv preprint arXiv:1704.00213},
year = {2017}
}