In this paper, we investigate the homological properties of the functor categories (mod− R,
Ab) and ((mod− R) op, Ab). Some new homological dimensions in these functor categories …

In this paper, we develop relative homological algebra in the category of functors from
finitely presented modules to Abelian groups. More specifically, we introduce the concepts of …

Mathematics | Free Full-Text | Tilting and Cotilting in Functor Categories Next Article in Journal
Preliminary Results on the Preinduction Cervix Status by Shear Wave Elastography Previous …

Müller generalized in [12] the notion of a Frobenius extension to left (right) quasi-Frobenius
extension and proved the endomorphism ring theorem for these extensions. Recently, Guo …

We introduce a notion of categorical homotopic distance between functors by adapting the
notion of homotopic distance in topological spaces, recently defined by the authors, to the …

The aim of these Notes is to introduce the reader to the language of categories with
emphazis on homological algebra. We treat with some details basic homological algebra …

We introduce and discuss the notion of a naturally full functor. The definition is similar to the
definition of a separable functor; a naturally full functor is a functorial version of a full functor …

A. Chigogidze defined for each normal functor on the category Comp an extension which is
a normal functor on the category Tych. We consider this extension for any functor on the …

Research Article Notes on Relative Extension Functors Page 1 Research Article Notes on
Relative Extension Functors Xu QingBing , 1 Yang Liu, 2 Mohammad Munir , 3 and Ayoub …

The notion of relative derived category with respect to a subcategory is introduced. A triangle-
equivalence, which extends a theorem of Gao and Zhang [Gorenstein derived …