Resumen de Topological linear copactness for Grothendiek categories: theorem of Tychonoff, aplications to coalgebras

P. Enache, Constantin Nastasescu, Blas Torrecillas Jover

• We show the Tyrhonoff's theorem for a Grothendieek rategory with a set of omalí projective generatore. Strirtly quasi-finite objects for semiartinian Grothendierk categories are chararterized. We apply these resulto to the study of the Monta duality of dual algebra of a eoal~ebra.