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Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.

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Open Access Research Article

New structure of algebras using permutations in symmetric groups

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pp. 1611–1618Vol. 27Issue 5August 2024DOI: 10.47974/JDMSC-2003 Crossmark XML
Received:
22 Jan 2024
Published Online:
26 Aug 2024
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-2003
Pages:
1611–1618

Abstract

The permutation BG-algebras were first introduced as a novel kind of algebra. In this work, their basic qualities were investigated to better understand how they relate to one another and how they might be combined to construct various sorts of superstructures. We investigated permutation BG-algebras, permutation group-derived, permutation BG-subalgebra, and permutation BG-normal. Furthermore, we explored certain novel concepts in permutation theory for the initial time. We additionally looked into BG-algebra isomorphism theorems, BG-algebra homomorphism, quotient permutation BG-algebras, and equivalence relations. 

Keywords

Subject Classifications

Primary 20G0518A05Secondary 20D06

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. 

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