EN
Hybrid bi-ideals in near-subtraction semigroups
Abstract
The fuzzy set is an excellent solution for dealing with ambiguity and for expressing people's hesitation in regular life. Soft set theory is an innovative method for solving practical issues. This is useful in resolving a number of problems, and a lot of progress is being made at the moment. In order to develop hybrid structures, Jun et al. fused the fuzzy and soft sets. In this paper, the notion of hybrid bi-ideals in near-subtraction semigroups is proposed and their associated results are discussed. The notion of hybrid intersections is examined. Furthermore, we establish some results related to the homomorphic preimage of a hybrid bi-ideal in near-subtraction semigroups.
Keywords
References
- [1] S. Anis, M. Khan and Y. B. Jun, Hybrid ideals in semigroups, Cogent Math. 4, 1352117, 2017.
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- [3] J. R. Clay, The near-rings on groups of low order, Math. Z. 104 (5), 364–371, 1968.
- [4] P. Dheena and B. Elavarasan, An ideal-based zero-divisor graph of 2-primal nearrings, Bull. Korean Math. Soc. 46(6), 1051–1060, 2009.
- [5] P. Dheena and G. Satheesh kumar, On storngly regular near-subtraction semigroups, Commun. Korean Math. Soc. 22(3), 323–330, 2007.
- [6] B. Elavarasan and Y. B. Jun, Regularity of semigroups in terms of hybrid ideals and hybrid bi-ideals, Kragujev. J. Math. 46(6), 857–864, 2022.
- [7] B. Elavarasan, G. Muhiuddin, K. Porselvi and Y. B. Jun, Hybrid structures applied to ideals in near-rings, Complex Intell. Syst. 7(3), 1489–1498, 2021.
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Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Early Pub Date
January 10, 2024
Publication Date
October 15, 2024
Submission Date
January 5, 2023
Acceptance Date
September 27, 2023
Published in Issue
Year 2024 Volume: 53 Number: 5
APA
Meenakshi1, S., Muhiuddin, G., Al-kadi, D., & Elavarasan, B. (2024). Hybrid bi-ideals in near-subtraction semigroups. Hacettepe Journal of Mathematics and Statistics, 53(5), 1250-1263. https://doi.org/10.15672/hujms.1229332
AMA
1.Meenakshi1 S, Muhiuddin G, Al-kadi D, Elavarasan B. Hybrid bi-ideals in near-subtraction semigroups. Hacettepe Journal of Mathematics and Statistics. 2024;53(5):1250-1263. doi:10.15672/hujms.1229332
Chicago
Meenakshi1, S., G. Muhiuddin, Deena Al-kadi, and B Elavarasan. 2024. “Hybrid Bi-Ideals in Near-Subtraction Semigroups”. Hacettepe Journal of Mathematics and Statistics 53 (5): 1250-63. https://doi.org/10.15672/hujms.1229332.
EndNote
Meenakshi1 S, Muhiuddin G, Al-kadi D, Elavarasan B (October 1, 2024) Hybrid bi-ideals in near-subtraction semigroups. Hacettepe Journal of Mathematics and Statistics 53 5 1250–1263.
IEEE
[1]S. Meenakshi1, G. Muhiuddin, D. Al-kadi, and B. Elavarasan, “Hybrid bi-ideals in near-subtraction semigroups”, Hacettepe Journal of Mathematics and Statistics, vol. 53, no. 5, pp. 1250–1263, Oct. 2024, doi: 10.15672/hujms.1229332.
ISNAD
Meenakshi1, S. - Muhiuddin, G. - Al-kadi, Deena - Elavarasan, B. “Hybrid Bi-Ideals in Near-Subtraction Semigroups”. Hacettepe Journal of Mathematics and Statistics 53/5 (October 1, 2024): 1250-1263. https://doi.org/10.15672/hujms.1229332.
JAMA
1.Meenakshi1 S, Muhiuddin G, Al-kadi D, Elavarasan B. Hybrid bi-ideals in near-subtraction semigroups. Hacettepe Journal of Mathematics and Statistics. 2024;53:1250–1263.
MLA
Meenakshi1, S., et al. “Hybrid Bi-Ideals in Near-Subtraction Semigroups”. Hacettepe Journal of Mathematics and Statistics, vol. 53, no. 5, Oct. 2024, pp. 1250-63, doi:10.15672/hujms.1229332.
Vancouver
1.S. Meenakshi1, G. Muhiuddin, Deena Al-kadi, B Elavarasan. Hybrid bi-ideals in near-subtraction semigroups. Hacettepe Journal of Mathematics and Statistics. 2024 Oct. 1;53(5):1250-63. doi:10.15672/hujms.1229332
Cited By
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Journal of New Results in Science
https://doi.org/10.54187/jnrs.1611847