Template:Strongly local curing property: Difference between revisions

Revision as of 00:17, 8 January 2008

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

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			===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>		''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>