New structure of algebras using permutations in symmetric groups

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-algebra...

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Bibliographic Details
Published inJournal of discrete mathematical sciences & cryptography Vol. 27; no. 5; pp. 1611 - 1618
Main Authors Khalil, Shuker, Al-Labadi, Manal, Suleiman, Enoch, Yerima, Namuma
Format Journal Article
LanguageEnglish
Published 01.08.2024
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Summary: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 BGsubalgebra, 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.
ISSN:0972-0529
2169-0065
DOI:10.47974/JDMSC-2003