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 …

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 …

It is shown that the category of enriched functors [C, V] is Grothendieck whenever V is a
closed symmetric monoidal Grothendieck category and C is a category enriched over V …

Given a pure semi-simple Grothendieck category%, we construct a new pure. semi-simple
functor category I (t) such that gl. dimºt= gl. dim I (4), The map At, J (4) defines a one-one …

The Grothendieck construction is a process to form a single category from a diagram of small
categories. In this paper, we extend the definition of the Grothendieck construction to …

The Grothendieck construction of a diagram X of categories can be seen as a process to
construct a single category Gr (X) by gluing categories in the diagram together. Here we …

Full article: Pure-direct-objects in categories: transfer via functors Skip to Main Content Taylor and
Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home 2.All …

We study the transfer of (dual) relative CS-Rickart properties via functors between abelian
categories. We consider fully faithful functors as well as adjoint pairs of functors. We give …

This paper explores when the (lax) centre of a closed monoidal (enriched) functor category
is again a functor category. For some of this, we exploit the Kleisli construction in the …

Given a cartesian closed category $\mathcal {V} $, we introduce an internal category of
elements $\int_\mathcal {C} F $ associated to a $\mathcal {V} $-functor $ F\colon\mathcal …