New structure of d-algebras using permutations

Manal Al-Labadi; Shuker Khalil; Enoch Suleiman

doi:10.1117/12.3011428

19 December 2023 New structure of d-algebras using permutations

Manal Al-Labadi, Shuker Khalil, Enoch Suleiman

Proceedings Volume 12936, International Conference on Mathematical and Statistical Physics, Computational Science, Education and Communication (ICMSCE 2023); 129360M (2023) https://doi.org/10.1117/12.3011428
Event: International Conference on Mathematical and Statistical Physics, Computational Science, Education and Communication (ICMSCE 2023), 2023, Istanbul, Turkey

Abstract

Several new classes of the algebraic problems are investigated, such as permutation d/d-edge/d-transitive-algebras, permutation d/d#-ideals and permutation d-subalgebras are discussed and looked into. We show that the product for any member in permutation d-algebra from the right with constant is equal the same member. Also, any permutation d-algebra is a permutation d-transitive algebra if and only if its extended edge permutation d-algebra is permutation d-transitive algebra. Additionally, permutation d*-algebra, permutation d-morphism, equivalence relation, congruence class and quotient permutation d-algebras were defined with specific results relating to these new notions are examined.

(2023) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Manal Al-Labadi, Shuker Khalil, and Enoch Suleiman "New structure of d-algebras using permutations", Proc. SPIE 12936, International Conference on Mathematical and Statistical Physics, Computational Science, Education and Communication (ICMSCE 2023), 129360M (19 December 2023); https://doi.org/10.1117/12.3011428

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