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.

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!