Journals / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2020 / Cilt: 69 - Sayı: 2
ON PROXIMITY SPACES AND TOPOLOGICAL HYPER NEARRINGS
- Journal
- Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Pages
- 1418–1427
- DOI
- —
Abstract
In 1934 the concept of algebraic hyperstructures was first intro- duced by a French mathematician, Marty. In a classical algebraic structure, the composition of two elements is an element, while in an algebraic hyper- structure, 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 topol- ogy 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.