Local rings of exchange rings

Pere Ara, Miguel Gómez Lozano, Mercedes Siles Molina

Research output: Contribution to journalArticleResearchpeer-review

19 Citations (Scopus)

Abstract

We characterize the exchange property for non-unital rings in terms of their local rings at elements, and we use this characterization to show that the exchange property is Morita invariant for idempotent rings. We also prove that every ring contains a greatest exchange ideal (with respect to the inclusion). Copyright © 1998 by Marcel Dekker, Inc.
Original languageEnglish
Pages (from-to)4191-4205
JournalCommunications in Algebra
Volume26
DOIs
Publication statusPublished - 1 Jan 1998

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