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arxiv: 1605.02360 · v2 · pith:7UNIZ363new · submitted 2016-05-08 · 🧮 math.RA

A note on semicentral Idempotents

classification 🧮 math.RA
keywords semicentralidempotentnoteringsanswerapplicationdedekind-finitegiven
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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.

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