In Bican et al., it is proved that all modules over an arbitrary ring have flat covers. In this
article, we shall study rings over which flat covers of finitely generated modules are …

Let R be a ring with Jacobson radical J (R). Following CNI, a submodule N of a left R-
module RM is said to lie over a summand of M if there exists an idempotent e E End (RM) …

Let R be a ring. Given two positive integers m and n, an R-module V is said to be (m, n)-
presented if there is an exact sequence of R-modules 0→ K→ Rm→ V→ 0 with K n …

Following, a ring R is called right almost-perfect if every flat right R-module is projective
relative to R. In this article, we continue the study of these rings and will find some new …

Let R be a ring with an identity element. We prove that R is right Kasch if and only if injective
hull of every simple right R-modules is neat-flat if and only if every absolutely pure right R …

Abstract A right R-module N is called GP-flat if for any a∈ R, there exists a positive integer n
(depending on a) such that the sequence 0→ N⊗ Ran→ N⊗ R is exact. A left R-module M is …

In this paper, the concept of almost projective covers is introduced. Using this concept,
locally perfect rings are characterized. Also, the concepts of w-almost projective modules, w …

A module M is said to be weakly N-projective if it has a projective cover π: P (M)↠ M and for
each homomorphism: P (M)→ N there exists an epimorphism σ: P (M)↠ M such that (kerσ) …

Let R be a commutative ring and C a semidualizing R-module. We investigate the relations
between C-flat modules and C-FP-injective modules and use these modules and their …

PM Cohn [3] has introduced the notion of purity for R-modules. With respect to purity, flat,
absolutely pure and regular modules are studied. In this paper we introduce and study the …