Soft rings based on soft binary operations
*Yohannes Taye JemberieCorresponding authoryohannes.taye@aau.edu.etDepartment of MathematicsAddis Ababa UniversityAddis Ababa, EthiopiaView full profile → , Berhanu Bekele Belaynehberhanu.bekele@aau.edu.etDepartment of MathematicsAddis Ababa UniversityAddis Ababa, EthiopiaView full profile → , Zelalem Teshome Walezelalem.teshome@aau.edu.etDepartment of MathematicsAddis Ababa UniversityAddis Ababa, EthiopiaView full profile → , Gezahagne Mulat Addisgezahagne412@gmail.comDepartment of MathematicsUniversity of GondarGondar, EthiopiaView full profile → , Samuel Asefa Fufasamuel.asefa@aau.edu.etDepartment of MathematicsAddis Ababa UniversityAddis Ababa, EthiopiaView full profile → , Durga Prasad Sharmadp.shiv08@gmail.comDepartment of Computing and Software EngineeringArba Minch UniversityArba Minch, EthiopiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Dec 2025
- Published Online:
- 13 Jul 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-2638
- Pages:
- 3011–3025
Abstract
This paper aims to study soft rings using the concept of soft binary operations as a quadruple (ℜ, *, △, P) involving of a non-empty set R and soft binary operations (*, P) and (△, P) satisfying all the ring axioms in softness settings. We study soft rings, along with related concepts like soft subrings and soft ideals. Their properties and relationships between soft rings and classical rings are examined, and elucidated by examples. Furthermore, soft Boolean rings and prime soft ideals are defined and associated theorems are proved.
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References
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