A note on semicentral Idempotents
arXiv:1605.02360
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.
to appear in Comm. Algebra; thanks to Hossein Shojaei for spotting a mistake in an earlier version