Recollement of Grothendieck categories. Applications to schemes

Recollement of Grothendieck categories. Applications to schemes

We prove that under suitable conditions the recollement of two locally finite categories is locally finite and similar statements for locally coirreducible categories and categories that have Gabriel dimension and locally Krull dimension. We present applications to (right) comodule categories over s...

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Veröffentlicht in:Bulletin mathématiques de la Société des sciences mathématiques de Roumanie 2013-01, Vol.56 (104) (1), p.109-116
Hauptverfasser: Joiţa, D., Năstăsescu, C., Năstăsescu, L.
Format: Artikel
Sprache:eng
Schlagworte:
Adjoints
Applied mathematics
Direct products
Functors
Krull dimensions
Mathematical induction
Mathematical rings
Mathematical theorems
Morphisms
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Beschreibung
Zusammenfassung:We prove that under suitable conditions the recollement of two locally finite categories is locally finite and similar statements for locally coirreducible categories and categories that have Gabriel dimension and locally Krull dimension. We present applications to (right) comodule categories over semiperfect coalgebras.
ISSN:1220-3874
2065-0264