A note on semicentral idempotents

作者:Lomp Christian; Matczuk Jerzy*
来源:Communications in Algebra, 2017, 45(6): 2735-2737.
DOI:10.1080/00927872.2016.1233236

摘要

In this note we answer the question raised by Han et al. in [3] 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.

  • 出版日期2017