On two questions of Nicholson

2014/02/19 by Siddique, Feroz
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1402.4706

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.

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