… Functor Categories as Module Categories Next we describe various ways of obtaining
the structure of a module category on functor categories of (bi-)module categories: …

… Our objective is to find a model of the fuzzy theory using a functor category, or equivalently
gradual modules, and we can do that first considering algebraic operations on fuzzy …

… , to (∞, 2)-categories using the nerve construction of [Fao] … the (∞, 2)-category of dgcategories
is a model for the simplicial … at the identity functor in the (∞, 2)-category of Aю-categories …

… additive category. We denote by Mod(C) the category of functors from Cop to the category Ab
of … The objects in Mod(C) are called C-modules [17]. It is well-known that Mod(C) is a locally …

… However, in §3.2, we will introduce a functor DRX to a … functor as a functor between suitable
localized categories. Then pDRX will be the composition of DRX and the forgetful functor …

… for the representation of functors between objects of a category. In MMT we can define
morphism between theories that can translate symbols and axioms from one theory to another, …

… of the following relation in the derived category of R-modules (4) R Γ ( X , ℱ ) ⊗ … functor of
the global section functor and ⊗ R L denotes the left derived functor of the tensor product functor…

… of flatness and absolute purrty in functor categories (Proposition 1, Oberst and Rohrl [7],
Lenzing [4]) p rovide new characterizations of flatness and absolute purity in module categories. …

… E gives rise to a functor from the category of Hilbert B-modules to the category of Hilbert A-modules.
The purpose of this paper is to study adjunctions between functors of this sort. We …

… at functors between module categories and derived categories of blocks. … functors between
categories of complexes, chain homotopy categories of complexes or (since all the functors …