Topological linear compactness for Grothendieck categories. Theorem of Tychonoff. Applications to coalgebras.
Enache, P. ; Nastasescu, C. ; Torrecillas, B.
Publicacions Matemàtiques, Tome 50 (2006), p. 57-70 / Harvested from Biblioteca Digital de Matemáticas
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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.

Publié le : 2006-01-01
DMLE-ID : 4088 
@article{urn:eudml:doc:41582,
     title = {Topological linear compactness for Grothendieck categories. Theorem of Tychonoff. Applications to coalgebras.},
     journal = {Publicacions Matem\`atiques},
     volume = {50},
     year = {2006},
     pages = {57-70},
     zbl = {1145.18003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41582}
}

Enache, P.; Nastasescu, C.; Torrecillas, B. Topological linear compactness for Grothendieck categories. Theorem of Tychonoff. Applications to coalgebras.. Publicacions Matemàtiques, Tome 50 (2006) pp. 57-70. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41582/