Analzying the relation between soft sets and topological polygroups
1Department of Mathematical Sciences, Yazd University, Yazd, 89158-1841, Iran
Sigma J Eng Nat Sci 2023; 41(3): 481-487 DOI: 10.14744/sigma.2023.00054
Abstract
In this article, we first provide some examples for soft topological polygroups, then define the closure of a soft topological polygroup and state the necessary condition for the closure of a soft topological polygroup to be a soft topological polygroup itself. We present some more characterizations of soft topological polygroups. In particular, explain the relation between soft sets and complete parts in a polygroup. Furthermore, write the different compositions of the closure of soft topological polygroups. Finally, introduce another definition for soft topo-logical polygroups, which we will work on it in future.
Keywords: Soft Sets; Polygroups; Soft Polygroups; Topological Polygroups; Soft Topological Polygroups; Complete Part; Closure Sets