This paper proposes the notion of soft dirings, created by combining soft set theory with dirings structure, which are an extension of as a generalization of rings. It investigates several properties of soft dirings and includes examples to clarify these concepts. The concept of commutative soft dirings is defined. In addition, a categorical framework for soft dirings and commutative soft dirings is presented. The paper concludes by introducing the concept of soft subdirings and exploring their structural aspects in detail.
| Primary Language | English |
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| Subjects | Group Theory and Generalisations, Mathematical Logic, Set Theory, Lattices and Universal Algebra |
| Journal Section | Research Article |
| Authors | |
| Submission Date | June 10, 2025 |
| Acceptance Date | September 11, 2025 |
| Publication Date | December 30, 2025 |
| Published in Issue | Year 2025 Volume: 17 Issue: 2 |