In this paper, we have introduced copure-direct-injective modules. A right R-module M is
said to be copure-direct-injective if every copure submodule of M isomorphic to a direct …

In this paper, we introduce and study a generalization of coretractable modules. An R-
module M is called coretractable relative to an R-module N if Hom R (M/X, N)≠ 0, for any …

The constructibility axiom, V= L, is a statement in mathematics that is independent of the ZFC
axioms of set theory. One of its consequences is (μ)= measurable cardinals do not exist. We …

Let M be a module. A\delta-cover of M is an epimorphism from a module F onto M with
a\delta-small kernel. A\delta-cover is said to be a flat\delta-cover in case F is a flat module. In …

Let R be any ring with identity, and let M be a unitary left R-module. A submodule K of M is
called generalized coessential submodule of N in M, if (N)/K⊆[Rad] _g (M/K). A module M is …

It is well known that the right global dimension of a ring R is usually computed by the right
derived functors of Hom and the left projective resolutions of right R-modules. In this paper …

Projectivity and flatness over the endomorphism ring of a finitely generated module Page 1
IJMMS 2004:30, 1581–1588 PII. S0161171204310082 http://ijmms.hindawi.com © Hindawi …

In this paper, we principally explore flat modules over a commutative ring with identity. We
do this in relation to projective and injective modules with the help of derived functors like …

Let R be a commutative ring with identity and na positive integer greater than 1. In this
paper, we introduce the concept of semi-n-absorbing submodules. A proper submodule N of …