A note on semicentral Idempotents

15 Sep 2016  ·  Lomp Christian, Matczuk Jerzy ·

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. read more

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Rings and Algebras