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

Enache, P., Nastasescu, C., and Torrecillas, B.. "Topological linear compactness for Grothendieck categories. Theorem of Tychonoff. Applications to coalgebras.." Publicacions Matemàtiques 50.1 (2006): 57-70. <http://eudml.org/doc/41582>.

@article{Enache2006,
abstract = {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.},
author = {Enache, P., Nastasescu, C., Torrecillas, B.},
journal = {Publicacions Matemàtiques},
keywords = {Espacio topológico compacto; Módulos; Categorías de Grothendieck; Tikhonov's theorem; coalgebras; quasi-finite objects; semiartinian Grothendieck categories; Morita duality},
language = {eng},
number = {1},
pages = {57-70},
title = {Topological linear compactness for Grothendieck categories. Theorem of Tychonoff. Applications to coalgebras.},
url = {http://eudml.org/doc/41582},
volume = {50},
year = {2006},
}

TY - JOUR
AU - Enache, P.
AU - Nastasescu, C.
AU - Torrecillas, B.
TI - Topological linear compactness for Grothendieck categories. Theorem of Tychonoff. Applications to coalgebras.
JO - Publicacions Matemàtiques
PY - 2006
VL - 50
IS - 1
SP - 57
EP - 70
AB - 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.
LA - eng
KW - Espacio topológico compacto; Módulos; Categorías de Grothendieck; Tikhonov's theorem; coalgebras; quasi-finite objects; semiartinian Grothendieck categories; Morita duality
UR - http://eudml.org/doc/41582
ER -