In this entire paper V is any ring with identity and Y be a nitary left− module. The Pseudo
Two absorbing module, is a new item of modules that we Presenting a comprehensive study …

A left module $ M $ over an arbitrary ring is called an $\mathcal {RD} $-module (or an
$\mathcal {RS} $-module) if every submodule $ N $ of $ M $ with ${\rm Rad}(M)\subseteq N …

Let R be associative ring with unit element and X be unitary right R-module. In this work, we
introduce the definition of the concept small-essentially pseudo injective module (shortly, S …

Let R be a ring with non-zero identity and let M be a right R-module. This paper study the
concept of s-quasi-injectivity. Some properties of this concept are investigated and some …

Let R be a commutative ring and m, n be positive integers. We define a proper submodule N
of an R-module M to be (m, n)-closed if for r∈ R and b∈ M, r^{m} b∈ N implies rⁿ∈(N: _ {R} …

Let $ R $ be a commutative ring with unity and $ K $ be a submodule of a non-zero left $ R $-
module $ D $. This paper introduces a new concept as a generalization of the prime …

In the development of Theory Radical of Rings, there are two kinds of radical constructions.
The first radical construction is the lower radical construction and the second one is the …

Throughout this note R is commutative ring with identity, and X be a left unitary R-module. A
proper submodule K of an R-module X is called nearly prime, if whenever implies that either …

A module M is called a simple continuous module if it satisfies the conditions (min-C_1) and
(min-C_2). A module M is called singular simple-direct-injective if for any singular simple …

In this paper, we study the conditions under which an automorphism of a dense subring of
the endomorphism ring of a free module is induced by a semilinear isomorphism of the …