Essential localizations and infinitary exact completion (Q2741543)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Essential localizations and infinitary exact completion |
scientific article; zbMATH DE number 1642940
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Essential localizations and infinitary exact completion |
scientific article; zbMATH DE number 1642940 |
Statements
24 September 2001
0 references
essential localization
0 references
exact completion
0 references
localizations of varieties
0 references
presheaf categories
0 references
0.90506876
0 references
0.89874315
0 references
0.89836097
0 references
0.89799494
0 references
0 references
0.8777539
0 references
0 references
0 references
Essential localizations and infinitary exact completion (English)
0 references
Using extensively the universality property of the exact completion of a category with weak small limits, the author gives analogous proofs for two new characterization theorems for localizations of varieties of general algebras and of presheaf categories. These characterizations strengthen existing results in so far as a certain commutation property for products and filtered colimits (AB 6) is assumed only up to a regular epimorphism.
0 references
