Year: 2025
Type: article
Abstract: Let R be a commutative ring with a non-zero identity and ? be an ideal R. In this paper, we introduce and investigate the concepts of ?-torsion modules, ?-torsion free modules, ?-flat modules and ?-von Neumann regular rings. Many examples, characterizations, and properties of these notions are given. Moreover, we use them to characterize reduced rings and ZN-rings.
Source: Filomat
DOI: 10.2298/fil2514843a
Authors: Adam Anebri, Najib Mahdou, El Oubouhou
Institutions: Université Hassan 1er, Sidi Mohamed Ben Abdellah University
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7125391605