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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
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Strongly regular modules

Discussiones Mathematicae - General Algebra and Applications, 2023
Summary: The notion of strongly regular modules over a ring which is not necessarily commutative is introduced. The relation between \(F\)-regular, \(GF\)-regular and \(vn\)-regular modules that are defined over commutative rings and strongly regular module is obtained. We have shown that a remark that if \(R\) is a reduced ring, then the \(R\)-module \
Govindarajulu Narayanan Sudharshana, Duraisamy Sivakumar   +1 more
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-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
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Approximate Regular Modules

مجلة بغداد للعلوم, 2011
There are two (non-equivalent) generalizations of Von Neuman regular rings to modules; one in the sense of Zelmanowize which is elementwise generalization, and the other in the sense of Fieldhowse.
Baghdad Science Journal
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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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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

FILTER REGULAR SEQUENCES AND LOCAL COHOMOLOGY MODULES [PDF]

Journal of Algebraic Systems, 2020
Let R be a commutative Noetherian ring. In this paper we consider some relations between filter regular sequence,regular sequence and system of parameters over R-modules.
J. Azami
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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
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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
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Regular Modules [PDF]

Proceedings of the American Mathematical Society, 1972
Mathematics Technical ...
openaire   +4 more sources