Research Article

On Characterizations of Soft Dirings

Volume: 17 Number: 2 December 30, 2025

On Characterizations of Soft Dirings

Abstract

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.

Keywords

References

  1. Abbasi, M.Y., Mir, T.R., Khan S.A., Characteristics of Soft Fractional Ideals and its R-multiples of Integral Domains, Palestine Journal of Mathematics, 13(3)(2024), 392–399.
  2. Acar, U., Koyuncu, F., Tanay, B., Soft sets and soft rings, Computers and Mathematics with Applications, 59(11)(2010), 3458–3463.
  3. Adhikari, M.R., Adhikari A., Groups, Rings and Modules with Applications, Universities Press, 2003.
  4. Aktas, H., Cagman, N., Soft sets and soft groups, Inform. Sci., 77(13)(2007), 2726–2735.
  5. Atagun, A.O, Sezgin, A., Soft substructures of rings, fields and modules, Computers and Math.with Appl., 61(2011), 592–601.
  6. Biyogmam, G.R., Nganou, J.B., Tchamna, S., An introduction to dirings, Asian-European Journal of Mathematics, 16(03)(2023), 2350050.
  7. Cagman, N., Engınoglu, S., Soft set theory and uni–int decision making, European Journal of Operational Research, 207(2)(2010), 848–855.
  8. Cohn, P.M., Introduction to Ring Theory, Springer Science and Business Media, 2001.

Details

Primary Language

English

Subjects

Group Theory and Generalisations, Mathematical Logic, Set Theory, Lattices and Universal Algebra

Journal Section

Research Article

Publication Date

December 30, 2025

Submission Date

June 10, 2025

Acceptance Date

September 11, 2025

Published in Issue

Year 2025 Volume: 17 Number: 2

APA
Oğuz, G. (2025). On Characterizations of Soft Dirings. Turkish Journal of Mathematics and Computer Science, 17(2), 512-518. https://doi.org/10.47000/tjmcs.1716605
AMA
1.Oğuz G. On Characterizations of Soft Dirings. TJMCS. 2025;17(2):512-518. doi:10.47000/tjmcs.1716605
Chicago
Oğuz, Gülay. 2025. “On Characterizations of Soft Dirings”. Turkish Journal of Mathematics and Computer Science 17 (2): 512-18. https://doi.org/10.47000/tjmcs.1716605.
EndNote
Oğuz G (December 1, 2025) On Characterizations of Soft Dirings. Turkish Journal of Mathematics and Computer Science 17 2 512–518.
IEEE
[1]G. Oğuz, “On Characterizations of Soft Dirings”, TJMCS, vol. 17, no. 2, pp. 512–518, Dec. 2025, doi: 10.47000/tjmcs.1716605.
ISNAD
Oğuz, Gülay. “On Characterizations of Soft Dirings”. Turkish Journal of Mathematics and Computer Science 17/2 (December 1, 2025): 512-518. https://doi.org/10.47000/tjmcs.1716605.
JAMA
1.Oğuz G. On Characterizations of Soft Dirings. TJMCS. 2025;17:512–518.
MLA
Oğuz, Gülay. “On Characterizations of Soft Dirings”. Turkish Journal of Mathematics and Computer Science, vol. 17, no. 2, Dec. 2025, pp. 512-8, doi:10.47000/tjmcs.1716605.
Vancouver
1.Gülay Oğuz. On Characterizations of Soft Dirings. TJMCS. 2025 Dec. 1;17(2):512-8. doi:10.47000/tjmcs.1716605

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