Extensions of Exchange Rings
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Pere Ara
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Article
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1997
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Elsevier Science
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English
โ 221 KB
We define non-unital exchange rings and we prove that if I is an ideal of a ring R, then R is an exchange ring if and only if I and RrI are exchange rings and idempotents can be lifted modulo I. We also show that we can replace the condition on liftability of idempotents with the condition that the