A note on semicentral Idempotents
Rings and Algebras
2016-09-16 v2
Abstract
In this note we answer the question raised by Han et al. in J. Korean Math. Soc (2014) whether an idempotent isomorphic to a semicentral idempotent is itself semicentral. We show that rings with this property are precisely the Dedekind-finite rings. An application to module theory is given.
Keywords
Cite
@article{arxiv.1605.02360,
title = {A note on semicentral Idempotents},
author = {Christian Lomp and Jerzy Matczuk},
journal= {arXiv preprint arXiv:1605.02360},
year = {2016}
}
Comments
to appear in Comm. Algebra; thanks to Hossein Shojaei for spotting a mistake in an earlier version