Bezout ring: Difference between revisions
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Revision as of 04:54, 9 January 2007
Definition for commutative rings
Symbol-free definition
A commutative unital ring (or any commutative ring) is termed a Bezout ring if any finitely generated ideal in it is principal.
Definition with symbols
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Definition for noncommutative rings
The same definition works as for commutative rings.
Relation with other properties
Stronger properties
Relation with other properties
- Bezout domain is a Bezout ring that is also an integral domain