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 …

Homological algebra based on fp-injective and fp-flat modules is studied. It can be realized
as relative homological algebra corresponding to the proper class of monomorphisms Also …

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 …

Co-∗n-tuple of Contravariant Functors Abstract 1 Introduction Page 1 British Journal of
Mathematics & Computer Science 4(12): 1701-1709, 2014 SCIENCEDOMAIN international …

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 …

A right A-module M is a-module provided that M is self-small and any exact sequence 0→
N→ L→ Q→ 0, with L, Q∈ Stat (M) remains exact after applying the functor HomA (M,-) if …

We investigate functors between abelian categories having usomor-phic left and right
adjoint functors (these functors are called Frobenius Functors). They are characterized for …

We study the existence of covers and envelopes by some special functors on the category of
finitely presented modules. As an application, we characterize some important rings using …

We investigate functors between abelian categories having a left adjoint and a right adjoint
that are similar (these functors are called quasi-Frobenius functors). We introduce the notion …

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 …