Some New Results, Structures and Operations on Soft Multigroup Theory

N.E. Onoyima¹ , A.I. Isah² , Y. Tella³

Section:Research Paper, Product Type: Journal-Paper
Vol.11 , Issue.2 , pp.32-40, Apr-2024

Online published on Apr 30, 2024

Copyright © N.E. Onoyima, A.I. Isah, Y. Tella . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In this paper, we introduce the notion of commutators in soft mgroups, soft m-monoid, soft semi mgroup, soft mgroupoid, conjugate soft mgroups, and exemplify some important operations in soft mgroups. We show that the nth power of the union of two soft mgroups is the same as the union of nth power of each of the mgroups, that the root set of the union of two soft mgroups is closed under arithmetic power. We examine some algebraic properties of soft mgroups. We obtain some results on commutators in soft mgroups, normal soft mgroups and conjugate soft mgroups.

Key-Words / Index Term :
soft sets, mgroups, soft msets, soft mgroups, regular soft mgroups, soft mmonoids, commutators in soft mgroup, soft normal submgroups, soft mgroupoids

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