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14 p, 157.6 KB Topological linear compactness for Grothendieck categories. Theorem of Tychonoff. Applications to coalgebras / Enache, P. ; Nastasescu, C. ; Torrecillas, B.
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.
2006 - 10.5565/PUBLMAT_50106_03
Publicacions matemàtiques, V. 50 n. 1 (2006) p. 57-70  

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