The derived category D [C, V] of the Grothendieck category of enriched functors [C, V], where
V is a closed symmetric monoidal Grothendieck category and C is a small V-category, is …

In this paper we introduce and investigate the notion of semiseparable functor. One of its first
features is that it allows a novel description of separable and naturally full functors in terms …

We introduce relative CS-Rickart objects in abelian categories, as common generalizations
of relative Rickart objects and extending objects. We study direct summands and (co) …

Internal categories in Mal’cev categories Page 1 Journal of Pure and Applied Algebra 143 (1999)
221–229 www.elsevier.com/locate/jpaa Internal categories in Mal’cev categories Marino Gran …

Strong promonoidal functors are defined. Left Kan extension (also called\existential
quantification") along a strong promonoidal functor is shown to be a strong monoidal functor …

We define and study opfibrations of V-enriched categories when V is an extensive monoidal
category whose unit is terminal and connected. This includes sets, simplicial sets …

We consider trivial and central extensions, in the sense of G. Janelidze and GM Kelly, which
are defined with respect to an adjunction between a Barr-exact category C and a Birkhoff …

Every Serre subcategory S of an abelian category A is assigned a unique type (m,− n),
where m (resp. n) counts how many times one can form left (resp. right) adjoints starting from …

We define stratified exact categories, which are a class of exact categories abstracting very
general features of the category of modules with a Verma flag in a highest weight category …

This dissertation is intended to transport the theory of Serre functors into the context of A∞-
categories. We begin with an introduction to multicategories and closed multicategories …