Browsing by Author "DAVVAZ, B."

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    On proximity spaces and topological hyper nearrings
    (Ankara Üniversitesi Fen Fakültesi, 2020-12-31) BORHANİ-NEJAD, Somaye; DAVVAZ, B.; Other; Other
    In 1934 the concept of algebraic hyperstructures was first introduced by a French mathematician, Marty. In a classical algebraic structure, the composition of two elements is an element, while in an algebraic hyperstructure, the result of this composition is a set. In this paper, we prove some results in topological hyper nearring. Then we present a proximity relation on an arbitrary hyper nearring and show that every hyper nearring with a topology that is induced by this proximity is a topological hyper nearring. In the following, we prove that every topological hyper nearring can be a proximity space.