Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Pseudo Primary-2-Absorbing Submodules and Some Related Concepts
View through CrossRef
Let be a commutative ring with identity. The aim of this paper is introduce the notion of a pseudo primary-2-absorbing submodule as generalization of 2-absorbing submodule and a pseudo-2-absorbing submodules. A proper submodule of an -module is called pseudo primary-2-absorbing if whenever , for , , implies that either or or . Many basic properties, examples and characterizations of these concepts are given. Furthermore, characterizations of pseudo primary-2-absorbing submodules in some classes of modules are introduced. Moreover, the behavior of a pseudo primary-2-absorbing submodule under -homomorphism is studied.
College of Education for Pure Sciences Ibn Al-Haitham
Title: Pseudo Primary-2-Absorbing Submodules and Some Related Concepts
Description:
Let be a commutative ring with identity.
The aim of this paper is introduce the notion of a pseudo primary-2-absorbing submodule as generalization of 2-absorbing submodule and a pseudo-2-absorbing submodules.
A proper submodule of an -module is called pseudo primary-2-absorbing if whenever , for , , implies that either or or .
Many basic properties, examples and characterizations of these concepts are given.
Furthermore, characterizations of pseudo primary-2-absorbing submodules in some classes of modules are introduced.
Moreover, the behavior of a pseudo primary-2-absorbing submodule under -homomorphism is studied.
.
Related Results
Pseudo Quasi-2-Absorbing Submodules and Some Related Concepts
Pseudo Quasi-2-Absorbing Submodules and Some Related Concepts
Let R be a ring and let A be a unitary left R-module. A proper submodule H of an R-module A is called 2-absorbing , if rsa∈H, where r,s∈R,a∈A, implies that either ra∈H or s...
Weakly sdf-Absorbing Submodules Over Commutative Rings
Weakly sdf-Absorbing Submodules Over Commutative Rings
Let $R$ be a commutative ring with identity and $M$ a unital $R$-module. A proper submodule $N$ of $M$ is called a weakly square-difference factor absorbing submodule (briefly, wea...
Nearly Primary-2-Absorbing Submodules and other Related Concepts
Nearly Primary-2-Absorbing Submodules and other Related Concepts
Our aim in this paper is to introduce the notation of nearly primary-2-absorbing submodule as generalization of 2-absorbing submodule where a proper submodule of an -module is ca...
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 this
paper we introduce the concepts of 2-visible submodules and fully 2-visible mo...
Weak pseudo-BCK algebras
Weak pseudo-BCK algebras
Abstract
In this paper we define and study the weak pseudo-BCK algebras as generalizations of weak BCK-algebras, extending some results given by Cı⃖rulis for weak BC...
MV-algebras with pseudo MV-valuations
MV-algebras with pseudo MV-valuations
The concept of pseudo MV-valuations is proposed in the paper, and some related characterizations of pseudo MV-valuations are investigated. The relationships between the pseudo MV-v...
Weakly 2‐Absorbing Ideals in Almost Distributive Lattices
Weakly 2‐Absorbing Ideals in Almost Distributive Lattices
The concepts of weakly 2‐absorbing ideal and weakly 1‐absorbing prime ideal in an almost distributive lattice (ADL) are introduced, and the necessary conditions for a weakly 1‐abso...
(m, n)-Closed Submodules of Modules over Commutative Rings
(m, n)-Closed Submodules of Modules over Commutative Rings
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∈...