Idealistic Soft Topological Hyperrings

Abstract

The aim of this article is to introduce the concept of an idealistic soft topological hyperring over a hyperring. Some structural properties of this concept are also studied. Moreover, this study investigates the relationship between the idealistic soft topological hyperrings and the idealistic soft hyperrings. Finally, the restricted (extended) intersection and ∧-intersection of the family of the idealistic soft topological hyperrings are examined.

Soft semi-topological polygroups

“…Only a genius like T. Hida can write such a beautiful story about the Soft topological group in [11], also G. Oguz with article Soft topological hyperstructure in [25] and M. Shabir, M. Naz With their own handwriting about the On soft topological spaces in [26]. If you want to read interesting articles about the topological polygroups, 690 R. MOUSAREZAEI, B. DAVVAZ you can read Heidari's article about the Topological polygroups in [9], also about the Idealistic soft topological hyperrings by G. Oguz in [23] and A new view on topological polygroups by G. Oguz in [22], Soft sets and soft groups by H. Aktas and N. Cagman in [1], Prolegomena of Hypergroup Theory by P. Corsini in [5].…”