Semihereditary ring: Difference between revisions
(New page: {{curing property}} ==Definition== ===Symbol-free definition=== A commutative unital ring is termed '''semihereditary''' if every finitely generated ideal in it is [[projective ...) |
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* [[Semisimple Artinian ring]] | * [[Semisimple Artinian ring]] | ||
* [[Hereditary ring]] | * [[Hereditary ring]] | ||
* [ | * [[Dedekind domain]] | ||
* [[Prufer domain]] | * [[Prufer domain]] | ||
Latest revision as of 16:34, 12 May 2008
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 is termed semihereditary if every finitely generated ideal in it is projective as a module.