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canonical localizing system (Definition)
Definition 0.1   Let $R$ be a ring. The canonical localizing system $S_{cl}$ on $R$ is defined as the strongest localizing system $F$ on $R$, such that $R$ is $F$-closed.

Note that there is a localizing subcategory $\mathcal{F}$ that contains all strongest localizing systems $F$.



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Cross-references: system

This is version 1 of canonical localizing system, born on 2009-04-30.
Object id is 702, canonical name is CanonicalLocalizingSystem.
Accessed 244 times total.

Classification:
Physics Classification: 00. (GENERAL)
 02. (Mathematical methods in physics)
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