On two questions of Nicholson
Rings and Algebras
2026-01-08 v2
Abstract
We show that a ring R has stable range one if and only if every left unit lifts modulo every left principal ideal. We also show that a left quasi-morphic ring has stable range one if and only if it is left uniquely generated. Thus we answer in the affirmative the two questions raised recently by W. K. Nicholson.
Keywords
Cite
@article{arxiv.1402.4706,
title = {On two questions of Nicholson},
author = {Feroz Siddique},
journal= {arXiv preprint arXiv:1402.4706},
year = {2026}
}