Extensions of Exchange Rings
✍
Pere Ara
📂
Article
📅
1997
🏛
Elsevier Science
🌐
English
⚖ 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