Tertiary decomposition in Grothendieck categories
Page 1
Displaying 1 – 4 of 4
The category of groupoid graded modules
Patrik Lundström (2004)
Colloquium Mathematicae
We introduce the abelian category R-gr of groupoid graded modules and give an answer to the following general question: If U: R-gr → R-mod denotes the functor which associates to any graded left R-module M the underlying ungraded structure U(M), when does either of the following two implications hold: (I) M has property X ⇒ U(M) has property X; (II) U(M) has property X ⇒ M has property X? We treat the cases when X is one of the properties: direct summand, free, finitely generated, finitely presented,...
The Hermitian Morita theorems.
Verhaege, P., Verschoren, A. (1998)
Divulgaciones Matemáticas
Topological linear compactness for Grothendieck categories. Theorem of Tychonoff. Applications to coalgebras.
P. Enache, C. Nastasescu, B. Torrecillas (2006)
Publicacions Matemàtiques
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.
Currently displaying 1 – 4 of 4
Page 1