Year: 2024
Type: article
Abstract: An (m, n)-near ring is an algebraic structure similar to an (m, n)-ring but satisfying fewer axioms.More precisely, the notion of (m, n)-near rings generalizes the concepts of rings, near rings, and (m, n)-rings.In this article, we define the notions of i-(m, n)-near ring, N -group, N -ideal, η-primitive, constant (m, n)-near ring, modular j-ideal, and η-modular, and investigate their properties.
Source: Contributions to Mathematics
DOI: 10.47443/cm.2024.058
Authors: Fahime Mohammadi, Bijan Davvaz
Institution: Yazd University
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4404828590