Topological linear compactness for Grothendieck categories. Theorem of Tychonoff. Applications to coalgebras

Topological linear compactness for Grothendieck categories. Theorem of Tychonoff. Applications to coalgebras

We show the Tychonoff's theorem for a Grothendieck category with a set of small projective generators. Strictly quasi-finite objects for semiartinian Grothendieck categories are characterized. We apply these results to the study of the Morita duality of dual algebra of a coalgebra.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Publicacions matemàtiques 2006, Vol.50 (1), p.57-70
Hauptverfasser: Enache, P., Nastasescu, C., Torrecillas, B.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Direct products
Functors
Mathematical duality
Mathematical rings
Mathematical theorems
Topological compactness
Topological spaces
Topological theorems
Topology
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We show the Tychonoff's theorem for a Grothendieck category with a set of small projective generators. Strictly quasi-finite objects for semiartinian Grothendieck categories are characterized. We apply these results to the study of the Morita duality of dual algebra of a coalgebra.
ISSN:0214-1493
2014-4350
DOI:10.5565/PUBLMAT_50106_03