Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Approximaitly Semi-Prime Submodules and Some Related Concepts
View through CrossRef
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 submodules and semi-prime submodules, also generalization of quasi-prime submodules and approximaitly prime submodules. Various basic properties of an approximaitly semi-prime submodules are discussed, where a proper submodule of an -module is called an approximaitly semi-prime submodule of , if whenever , where , and , implies that . Furthermore the behaviors of approximaitly semi-prime submodule in some classes of modules are studied. On the other hand several characterizations of this concept are introduced.
College of Education for Pure Sciences Ibn Al-Haitham
Title: Approximaitly Semi-Prime Submodules and Some Related Concepts
Description:
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 submodules and semi-prime submodules, also generalization of quasi-prime submodules and approximaitly prime submodules.
Various basic properties of an approximaitly semi-prime submodules are discussed, where a proper submodule of an -module is called an approximaitly semi-prime submodule of , if whenever , where , and , implies that .
Furthermore the behaviors of approximaitly semi-prime submodule in some classes of modules are studied.
On the other hand several characterizations of this concept are introduced.
Related Results
Approximaitly Prime Submodules and Some Related Concepts
Approximaitly Prime Submodules and Some Related Concepts
In this research note approximately prime submodules is defined as a new generalization of prime submodules of unitary modules over a commutative ring with identity. A proper submo...
Approximaitly Primary Submodules
Approximaitly Primary Submodules
The study deals with the notion of an approximaitly primary submodules of unitary left -module over a commutative ring with identity as a generalization of a primary submodules a...
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 ...
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 Quasi-primary Submodules
Approximaitly Quasi-primary Submodules
In this paper, we introduce and study the notation of approximaitly quasi-primary submodules of a unitary left -module over a commutative ring with identity. This concept i...
WES-2-Absorbing Submodules and WEQ-2-Absorbing Submodules
WES-2-Absorbing Submodules and WEQ-2-Absorbing Submodules
In this research, we introduced and studied, the concepts of WES-2-absorbing submodules and WEQ-2-absorbing submodules as a stronger form of the concepts of weakly semi-2-absorbing...
The Canberra Bubble
The Canberra Bubble
According to the ABC television program Four Corners, “Parliament House in Canberra is a hotbed of political intrigue and high tension … . It’s known as the ‘Canberra Bubble’ and i...
$S$-$M$-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...