We use a definition of tensor products of functors to generalize some theorems of
homological algebra. We show that adjoint pairs of functors between additive functor …

The results in this paper were obtained by making certain observations about modules and
generalizing to functor categories. The idea is to generalize the techniques of homological …

We give a construction of triangulated categories as quotients of exact categories where the
subclass of objects sent to zero is defined by a triple of functors. This includes the cases of …

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 …

The notion of exact category is one of the most interesting notion studied in category theory.
In fact, several important mathematical situations can be axiomatized in categorical terms as …

ON ADJOINT FUNCTORS IN REPRESENTATION THEORY R. Bautista L. Colavita L.
Salmeron It is known that whenever we have a cotriple [ Page 1 ON ADJOINT FUNCTORS IN …

In a series of papers additive subbifunctors $ F $ of the bifunctor $\operatorname {Ext} _
{\Lambda}(,) $ are studied in order to establish a relative homology theory for an artin …

We construct derived functors in additive categories in which each morphism has a kernel,
co-kernel, image, and coimage, but the image and coimage are not necessarily isomorphic …

If ${\mathbf {C}} $ is a small category enriched over topological spaces the category
${\mathcal {J}^{\mathbf {C}}} $ of continuous functors from ${\mathbf {C}} $ into topological …

B ́enabou pointed out in 1963 that a pair f⊣ u: A→ B of adjoint functors induces a monoidal
functor [f, u]:[A, A]→[B, B] between the (strict) monoidal categories of endofunctors. We show …