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On Strongly 𝝅-regular Modules

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020
In this article, we introduce the notion of strongly π-regular module which is a generalization of von Neumann regular module in the sense [13]. Let A be a commutative ring with 1≠0 and X a multiplication A-module. X is called a strongly π-regular module
Suat Koç
doaj   +5 more sources

-Regular Modules

Journal of Applied Mathematics, 2013
We introduced and studied -regular modules as a generalization of -regular rings to modules as well as regular modules (in the sense of Fieldhouse). An -module is called -regular if for each and , there exist and a positive integer such that .
Areej M. Abduldaim, Sheng Chen
doaj   +4 more sources

Regularity in Topological Modules [PDF]

Mathematics, 2020
The framework of Functional Analysis is the theory of topological vector spaces over the real or complex field. The natural generalization of these objects are the topological modules over topological rings.
Francisco Javier Garcia-Pacheco
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On regular fusible modules

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas
In this article, we introduce the notion of regular fusible modules. Let $R$ be a ring with an identity and $M$ an $R$-module. An element $0\neq m\in M$ is said to be regular fusible if there exists $r\in R$, a non zero-divisor of $M$, such that $mr$ can be written as the sum of a torsion element and a torsion free element in $M$. $M$ is called regular
Unsal Tekir, Suat Koc, Tekir Unsal
exaly   +3 more sources

2-Regular Modules

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017
  In this paper we introduced the concept of 2-pure submodules as a generalization of pure submodules, we study some of its basic properties and by using this concept we define the class of 2-regular modules, where an R-module M is called 2-regular ...
Nuhad S. AL-Mothafar, Ghaleb A. Humod
doaj   +1 more source

GENERALIZATION OF VON-NEUMANN REGULAR RINGS TO VON-NEUMANN REGULAR MODULES

Barekeng, 2023
An element r in a commutative ring R is called regular if there exist s∈R such that rsr=r. Ring R is called vN (von-Neumann)-regular ring if every element is regular. Recall that for any ring R always can be considered as module over itself.
Hubbi Muhammad, Sri Wahyuni
doaj   +1 more source

Strongly Maximal Submodules with A Study of Their Influence on Types of Modules

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2022
Let S be a commutative ring with identity, and A is an S-module. This paper introduced an important concept, namely strongly maximal submodule. Some properties and many results were proved as well as the behavior of that concept with its localization was
Fatima M. Mohialdeen, Buthyna N. Shihab
doaj   +1 more source

Peer Assisted Learning: A New Teaching Approach in Undergraduate Medical Students [PDF]

Journal of Clinical and Diagnostic Research, 2021
Introduction: Peer Assisted Learning (PAL) is an innovative teaching learning tool where people from similar social groupings, who are not professional teachers, help each other to learn. Medical Council of India (MCI) recommends improving quality of
R Divya, S Abeetha, S Nedunchezhiyan, S Sadhana   +3 more
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Strongly Pseudo Nearly Semei-2-Absorbing Submodules (II)

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023
Let  be a module over a commutative ring  with identity. Before studying the concept of the Strongly Pseudo Nearly Semi-2-Absorbing submodule, we need to mention the ideal  and the basics that you need to study the  concept of the Strongly Pseudo Nearly
Mohmad Essa Dahash Al Dury, Haibat K. Mohammadali   +1 more
doaj   +1 more source

Some Properties of Strongly Principally Self-Injective Modules [PDF]

Journal of Applied Sciences and Nanotechnology, 2022
The idea of generalizing quasi injective by employing a new term is introduced in this paper. The introduction of principally self-injective modules, which are principally self-injective modules.
Khalid Munshid, Mohanad Hamid, Jehad Kider   +2 more
doaj   +1 more source