On Fuzzy Primary Ideals of an (m,n)-Near Ring

This paper introduces and systematically develops the notion of fuzzy primary ideals in the framework of [Formula: see text]-near rings. We begin by formulating a precise definition of fuzzy primary ideals and then clarify the concept through illustrative examples. Subsequently, we establish several fundamental theorems that provide a rigorous characterization of their structural properties and algebraic behavior. These results extend fuzzy ideal theory to the broader setting of [Formula: see text]-near rings and contribute new insights into the underlying structure of fuzzy algebraic systems.

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Publication Details

Journal
New Mathematics and Natural Computation
Published
2026-02-19
DOI
https://doi.org/10.1142/s1793005728500342
Primary Topic
Fuzzy and Soft Set Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

On Fuzzy Primary Ideals of an (m,n)-Near Ring

Fahime Mohammadi, Bijan Davvaz
New Mathematics and Natural Computation
Fuzzy and Soft Set Theory
article

On Fuzzy Primary Ideals of an (m,n)-Near Ring

Fahime Mohammadi, Bijan Davvaz
article en

Abstract

This paper introduces and systematically develops the notion of fuzzy primary ideals in the framework of [Formula: see text]-near rings. We begin by formulating a precise definition of fuzzy primary ideals and then clarify the concept through illustrative examples. Subsequently, we establish several fundamental theorems that provide a rigorous characterization of their structural properties and algebraic behavior. These results extend fuzzy ideal theory to the broader setting of [Formula: see text]-near rings and contribute new insights into the underlying structure of fuzzy algebraic systems.

New Mathematics and Natural Computation
Yazd University (IR)
Reduced inequalities
Openalex Percentile: Top 55%
Fuzzy and Soft Set Theory
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