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canonical localizing system
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(Definition)
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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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"canonical localizing system" is owned by bci1.
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| Also defines: |
localizing subcategory |
| Keywords: |
canonical localizing system |
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Cross-references: contains, ring
There is 1 reference to this entry.
This is version 1 of canonical localizing system, born on 2008-10-04.
Object id is 11135, canonical name is CanonicalLocalizingSystem.
Accessed 604 times total.
Classification:
| AMS MSC: | 18-00 (Category theory; homological algebra :: General reference works ) | | | 18E05 (Category theory; homological algebra :: Abelian categories :: Preadditive, additive categories) |
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Pending Errata and Addenda
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