Soft M-Algebras and Soft M-Ideals

Main Article Content

Mohammed Shahab Hassan
https://orcid.org/0000-0003-0253-6987

Abstract

In this paper, I start by introducing and going over the new M-algebra classes. Additionally, I present new classes of soft algebras, which I refer to as soft M-algebras. I next introduce and explore new ideas in soft M-algebras, like soft M-subalgberas and soft M-ideals, using our new connotations. I also presented the theorem of soft M-ideals and soft M-algebras.

Article Details

How to Cite
Shahab Hassan, M. (2025). Soft M-Algebras and Soft M-Ideals. Tikrit Journal of Pure Science, 30(3), 60–66. https://doi.org/10.25130/tjps.v30i3.1707
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Articles

References

1. Molodtsov D. Soft set theory-First results. Comput Math Appl. 1999;37(4-5):19–31. https://doi.org/10.1016/S0898-1221(99)00056-5

2. Ali MI, Feng F, Liu X, Min WK, Shabir M. On some new operations in soft set theory. Comput Math Appl. 2009;57(9):1547–53. https://doi.org/10.1016/j.camwa.2008.11.009

3. Iseki K. On BCI-algebras. Math Semin Notes. 1980;8:125–30.

4. Iséki K, Tanaka S. An introduction to theory of BCK-algebras. Math Japnica. 1978;23:1–26.

5. Jun YB. Soft BCK/BCI-algebras. Comput Math Appl. 2008;56(5):1408–13. https://doi.org/10.1016/j.camwa.2008.02.035

6. Jun YB, Park CH. Applications of soft sets in ideal theory of BCK/BCI-algebras. Inf Sci. 2008;178(11):2466–75. https://doi.org/10.1016/j.ins.2008.01.017

7. Askandar SW, Mohammed AA. i-Soft Separation Axioms in Soft Topological Spaces. Tikrit J Pure Sci. 2020;25(6):130–8. https://doi.org/10.25130/tjps.v25i6.322

8. Kazanci O, Yilmaz S, Yamak S. Soft sets and soft BCH-algebras. Hacettepe J Math Stat. 2010;39(2):205–17.

9. Mahmood PM, Darwesh HM, Shareef HA. On Soft Sₚ-Closed and Soft Sₚ-Open Sets with Some Applications. Tikrit J Pure Sci. 2024;29(2):86–98. https://doi.org/10.25130/tjps.v29i2.1547

10. Maji PK, Biswas R, Roy AR. Soft set theory. Comput Math Appl. 2003;45(4-5):555–62. https://doi.org/10.1016/S0898-1221(03)00016-6

11. Jun YB, Lee KJ, Park CH. Soft set theory applied to ideals in d-algebras. Comput Math Appl. 2009;57(3):367–78. https://doi.org/10.1016/j.camwa.2008.11.002

12. Mahdi LS. Applications of Soft Sets in BH-algebra. Int J Sci Res. 2015;4(2).

13. Jun YB, Lee KJ, Zhan J. Soft p-ideals of soft BCI-algebras. Comput Math Appl. 2009;58(10):2060–8. https://doi.org/10.1016/j.camwa.2009.07.072