SOFT STRUCTURES DERIVED FROM GROUPS

Authors : Mustafa Burç Kandemir

Pages : 283-292

View : 12 | Download : 6

Publication Date : 2018-10-24

Article Type : Research

Abstract :In this paper, we get soft structures what we call cyclicizer soft  set, centralizer soft set, normalizer soft set, cosetial soft set, orbital soft set  and stabilizer soft set using some group concepts such as cyclic, centralizer and  normalizer of an element, coset and group action, in any given group. At the  same time, we mentioned that they are a soft group. We discuss their soft set  theoretic properties and give some theorems for groups. We proposed some  necessary and sucient conditions for two groups to be isomorphic using the  soft set theory. We give relation between similarity of soft sets and groups.
Keywords : Soft set, soft group, group, centralizer, normalizer, cyclic group