Annals of Communications in Mathematics

AbstractIn this paper, the concept of the direct product of a group is studied from the classical settings. We then propose the notion of the direct product of a soft multigroup and investigate some of its structural properties. Finally, the concept of upper and lower cuts of soft multigroup is introduced, exemplified and some related results are established.

AbstractThe theory of soft multigroup is an extension of soft group theory. The study of soft multigroups drawn from soft group and soft multisets is an awakening research domain in non classical group. This paper establishes and investigates some properties of normalizer of a soft group in the framework of soft multigroup. Also, the notion of cyclic soft multigroup is proposed and some of its properties are examined.