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 -
