Bezout ring: Difference between revisions
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==Definition | {{curing property}} | ||
==Definition== | |||
===Symbol-free definition=== | ===Symbol-free definition=== | ||
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==Relation with other properties== | ==Relation with other properties== | ||
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* [[Bezout domain]] is a Bezout ring that is also an [[integral domain]] | * [[Bezout domain]] is a Bezout ring that is also an [[integral domain]] | ||
Revision as of 10:50, 7 August 2007
This article defines a property of commutative unital rings; a property that can be evaluated for a commutative unital ring
View all properties of commutative unital rings
VIEW RELATED: Commutative unital ring property implications | Commutative unital ring property non-implications |Commutative unital ring metaproperty satisfactions | Commutative unital ring metaproperty dissatisfactions | Commutative unital ring property satisfactions | Commutative unital ring property dissatisfactions
Definition
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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Relation with other properties
Stronger properties
Relation with other properties
- Bezout domain is a Bezout ring that is also an integral domain