Morita duality for Grothendieck categories with applications to coalgebras
C Năstăsescu, B Torrecillas - Communications in Algebra®, 2005 - Taylor & Francis
Finiteness conditions of reflexive objects of a Morita duality of Grothendieck category is
studied. It is observed that the relation between coproduct and product is a fundamental fact …
studied. It is observed that the relation between coproduct and product is a fundamental fact …
Morita duality emerging from quasi-abelian categories
W Rump - Algebras and Representation Theory, 2022 - Springer
It is shown that a general concept of Morita duality between abelian categories with no
generating hypothesis for reflexive objects is completely described by a special class of …
generating hypothesis for reflexive objects is completely described by a special class of …
Topological linear compactness for Grothendieck categories. Theorem of Tychonoff. Applications to coalgebras
P Enache, C Năstăsescu, B Torrecillas - Publicacions Matemàtiques, 2006 - JSTOR
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 …
generators. Strictly quasi-finite objects for semiartinian Grothendieck categories are …
[引用][C] SYMPOSIUM ON RING THEORY, 1993
ONAGOFM DUALITY, K OHTAKE - Proceedings of the... Symposium on Ring Theory, 1993