Extensions of exchange rings

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86 Citations (Scopus)

Abstract

We define non-unital exchange rings and we prove that ifIis an ideal of a ringR, thenRis an exchange ring if and only ifIandR/Iare exchange rings and idempotents can be lifted moduloI. We also show that we can replace the condition on liftability of idempotents with the condition that the canonical mapK0(R)→K0(R/I) be surjective. © 1997 Academic Press.
Original languageEnglish
Pages (from-to)409-423
JournalJournal of Algebra
Volume197
DOIs
Publication statusPublished - 15 Nov 1997

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