Template:Strongly local curing property: Difference between revisions
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===Strong local nature=== | ===Strong local nature=== | ||
''This [[property of commutative unital rings]] is strongly local in the following sense: a [[commutative unital ring]] has the property iff its [[localization at a prime ideal|localization]] at each [[prime ideal]] has the property, iff its localization at each [[maximal ideal]] has the property''<includeonly>[[Category:Strongly local properties of commutative unital rings]][[Category:Local properties of commutative unital rings]][[Category:Localization-closed properties of commutative unital rings]]</includeonly><noinclude>[[Category:Commutative unital ring metaproperty satisfaction templates]]</noinclude> | {{quotation|''This [[property of commutative unital rings]] is strongly local in the following sense: a [[commutative unital ring]] has the property iff its [[localization at a prime ideal|localization]] at each [[prime ideal]] has the property, iff its localization at each [[maximal ideal]] has the property''<br>[[:Category:Strongly local properties of commutative unital rings|View other strongly local properties of commutative unital rings]]}}<includeonly>[[Category:Strongly local properties of commutative unital rings]][[Category:Local properties of commutative unital rings]][[Category:Localization-closed properties of commutative unital rings]]</includeonly><noinclude>[[Category:Commutative unital ring metaproperty satisfaction templates]]</noinclude> | ||
Revision as of 19:48, 9 March 2008
Strong local nature
This property of commutative unital rings is strongly local in the following sense: a commutative unital ring has the property iff its localization at each prime ideal has the property, iff its localization at each maximal ideal has the property
View other strongly local properties of commutative unital rings