Primitive ideals in (m,n)-near rings

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, -primitive, constant (m, n)-near ring, modular j-ideal, and -modular, and investigate their properties.

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Publication Details

Journal
Contributions to Mathematics
Published
2024-11-28
DOI
https://doi.org/10.47443/cm.2024.058
Primary Topic
Rings, Modules, and Algebras
Type
article
Field-Weighted Citation Impact
0.00
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article

Primitive ideals in (m,n)-near rings

Bijan Davvaz, Fahime Mohammadi
Contributions to Mathematics
Rings, Modules, and Algebras
article

Primitive ideals in (m,n)-near rings

Bijan Davvaz, Fahime Mohammadi
article en

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, -primitive, constant (m, n)-near ring, modular j-ideal, and -modular, and investigate their properties.

Contributions to MathematicsVol. 10
Yazd University (IR)
Openalex Percentile: Top 61%
Rings, Modules, and Algebras
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Primitive ideals in (m,n)-near rings — Bijan Davvaz, Fahime Mohammadi · Contributions to Mathematics (2024) | TGRS Research Map | TGRS