Мы развиваем некую относительную алгебру в категории функторов из конечно
представимых модулей в абелевы группы. Более точно, мы вводим понятия# …

We investigate the C-FP-injective modules over commutative rings for a semidualizing
module C. We show that the class of C-FP-injective modules is closed under pure …

Let R be a ring and na fixed non-negative integer. TI n (resp. TF n) denotes the class of all
right R-modules of F GT-injective dimensions at most n (resp. all left R-modules of F GT-flat …

In this paper, some special rings such as von Neumann regular rings and PP rings are
characterized in terms of endomorphisms of divisible and torsionfree modules. In addition …

Given a full subcategory 3 of a category A, the existence of left 3-approximations (or 3-
preenvelopes) completing diagrams in a unique way is equivalent to the fact that 3 is …

Let R be a ring, na fixed non-negative integer and n (n) the class of all right (left) R-modules
of FP-injective (flat) dimension at most n. We prove that ( n⊥ n is a perfect cotorsion theory if …

In this paper, by using Birkemeier ideals, we introduce a class H of right R-modules which
are subisomorphic to their C-envelopes and a class G of right R-modules which axe …

A ring R is called “left generalized morphic” if for every element a in R, there exists b∈ R
such that la R/Rb, where la denotes the left annihilator of a in R. The aim of this article is to …