New structure of algebras using permutations in symmetric groups
*Shuker KhalilCorresponding authorshuker.khalil@uobasrah.edu.iqDepartment of MathematicsCollege of ScienceUniversity of BasrahBasrah, IraqView full profile → , Manal Al-Labadimanal.allabadi@uop.edu.joDepartment of MathematicsFaculty of Arts and SciencesUniversity of PetraPetra, JordanView full profile → , Enoch Suleimanenochsuleiman@gmail.comDepartment of MathematicsFederal UniversityGaga, Ondo, 340110, NigeriaView full profile → , Namuma Yerimanamumayerima@gmail.comDepartment of MathematicsFederal UniversityGaga, Ondo, 340110, NigeriaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 22 Jan 2024
- Published Online:
- 26 Aug 2024
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-2003
- Pages:
- 1611–1618
Abstract
Keywords
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References
[1] K. Iseki, On BCI-algebras, Math. Seminar Notes, vol. 8, pp.125–130, (1980).
[2] K. Iseki, S. Tanaka, An introduction to theory of BCK-algebras, Math. Japonica, vol.23, pp.1–26, (1978).
[3] C. B. Kim, H. S. Kim, On BG-Algebra, Demonstratio Mathematica, vol. XLI, no 3, pp. 479-505, (2008).
[4] S. Alsalem, A. F. Al Musawi, and E. Suleiman, “On Permutation B-center and Derived Permutation B-algebras,” 2022 7th International Conference on Mathematics and Computers in Sciences and Industry (MCSI), Athens, Greece, pp. 46-50, (2022). doi: 10.1109/MCSI55933.2022.00014
[5] S. Alsalem, A. F. Al Musawi, and E. Suleiman, “On maximal permutation BH-ideals of Permutation BH-Algebras,” 2022 7th International Conference on Mathematics and Computers in Sciences and Industry (MCSI), Athens, Greece, pp.40-45, (2022). doi: 10.1109/MCSI55933.2022.00013.
[6] Abbood, Mohaimen M., Ebrahim, Hassan H., Al-Fayadh, Ali & Obaid, Ahmed J.(2023) Measure defined on Γ–algebra and some of their generalizations, Journal of Interdisciplinary Mathematics, 26:5, 821–827, DOI: 10.47974/JIM-1502.




