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.
Authors
- Fahime Mohammadi (ORCID: https://orcid.org/0009-0003-1562-9231)
- Bijan Davvaz
Institutions
- Yazd University (IR)
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