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* <math>f: M \to N</math> is injective (resp. surjective), where {{mvar|N}} is another {{mvar|R}}-module.
On the other hand, some properties are not local properties. For example, an infinite [[direct product]] of [[field (mathematics)|fields]] is not an [[integral ___domain]] nor a [[Noetherian ring]], while all its local rings are fields, and therefore Noetherian integral
== Localization to Zariski open sets ==
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