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Purely Inseparable Extensions of Factorial Rings

โœ Scribed by J. Lang

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
267 KB
Volume
168
Category
Article
ISSN
0021-8693

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Extensions of Exchange Rings
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โœ Pere Ara ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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