Abstract A left R-module M is said to be fp-injective if, for every monomorphism K→ L with K
and L finitely presented left R-modules, Hom (L, M)→ Hom (K, M) is an epimorphism. A right …

Given a complete, cocomplete category 𝒞, we investigate the problem of describing those
small categories I such that the diagonal functor Δ: 𝒞→ Functors (I, 𝒞) is a Frobenius functor …

For a ring R and an additive subcategory CC of the category Mod\nolimits R Mod R of left R-
modules, under some conditions, we prove that the right Gorenstein subcategory of …

Graded Injective Modules and Graded Quasi-Frobenius Rings 0 Introduction Page 1
Applied Mathematical Sciences, Vol. 9, 2015, no. 23, 1113 - 1123 HIKARI Ltd, www.m-hikari.com …

The classes of FP-injective and weakly quasi-Frobenius rings are investigated. The
properties for both classes of rings are closely linked with embedding of finitely presented …

In this paper, we introduce the notion of fpn-injective and fpn-flat modules, and investigate
their properties. In particular, we prove that every left R-module has an fpn-injective cover …

The category of unital modules over a ring with identity element is characterized as a
cocomplete abelian category with a progenerator. More generally, every cocomplete abelian …

Some Relations Between Crossed Modules and Simplicial Objects in Categories of Interest
Page 1 EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS Vol. 7, No. 4, 2014 …

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 …