Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
2-Visible Submodules and Fully 2-Visible Modules
View through CrossRef
Let X be a T -module, T is a commutative ring with identity and K be a proper submodule of X. In this
paper we introduce the concepts of 2-visible submodules and fully 2-visible modules as a generalizations of visible
submodules and fully visible modules resp., where K is said to be 2-visible whenever K=I2 K for every nonzero
ideal I of T and AT -module X is called fully 2-visible if for any proper submodule of it is 2-visible.Study some of
the properties of these concepts also discuss the relationship 2-visible submodules and fully 2-visible modules with
2-pure submoules and other related submodules and modules resp. are given
College of Education - Aliraqia University
Title: 2-Visible Submodules and Fully 2-Visible Modules
Description:
Let X be a T -module, T is a commutative ring with identity and K be a proper submodule of X.
In this
paper we introduce the concepts of 2-visible submodules and fully 2-visible modules as a generalizations of visible
submodules and fully visible modules resp.
, where K is said to be 2-visible whenever K=I2 K for every nonzero
ideal I of T and AT -module X is called fully 2-visible if for any proper submodule of it is 2-visible.
Study some of
the properties of these concepts also discuss the relationship 2-visible submodules and fully 2-visible modules with
2-pure submoules and other related submodules and modules resp.
are given.
Related Results
Semi-Coessential and Semi-Coclosed Submodules
Semi-Coessential and Semi-Coclosed Submodules
In this paper, we study and introduce two new concepts in module theory: semi-coessential submodules and semi-coclosed submodules. These notions are generalizations of the classica...
WE-primary submodules and WE-quasi-prime submodules
WE-primary submodules and WE-quasi-prime submodules
In this paper we introduced and study two concepts one of is a subclass of a class of weakly primary submodules called WE-primary submodules and the other of a subclass of weakly ...
2-Visible Submodules and Fully 2-Visible Modules
2-Visible Submodules and Fully 2-Visible Modules
Let X be a T -module, T is a commutative ring with identity and K be a proper submodule of X. In thispaper we introduce the concepts of 2-visible submodules and fully 2-visible mod...
Minimal Prime and Semiprime Submodules
Minimal Prime and Semiprime Submodules
Prime and semiprime submodules are important generalizations of prime and semiprime ideals to module theory over commutative rings. However, minimal or smallest prime/semiprime sub...
$S$-$M$-cyclic submodules and some applications
$S$-$M$-cyclic submodules and some applications
In this paper, we introduce the notion of $S$-$M$-cyclic submodules, which is a generalization of the notion of $M$-cyclic submodules. Let $M, N$ be right $R$-modules and $S$ be a...
On Nearly Prime Submodules of Unitary Modules
On Nearly Prime Submodules of Unitary Modules
The aim of this paper is to introduce the notion of nearly prime submodules as a generalization of prime submodules. We investigate some of their basic properties and point out the...
Approximaitly Semi-Prime Submodules and Some Related Concepts
Approximaitly Semi-Prime Submodules and Some Related Concepts
We introduce in this paper the concept of approximaitly semi-prime submodules of unitary left -module over a commutative ring with identity as a generalization of a prime sub...
On Beta-Prime Submodules
On Beta-Prime Submodules
We introduce the concepts of $\beta$-prime submodules and weakly $\beta$-prime submodules of unital left modules over a commutative ring with nonzero identity. Some properties of t...