On proximity spaces and topological hyper nearrings
| dc.contributor.author | BORHANİ-NEJAD, Somaye | |
| dc.contributor.author | DAVVAZ, B. | |
| dc.contributor.department | Other | tr_TR |
| dc.contributor.faculty | Other | tr_TR |
| dc.date.accessioned | 2021-11-29T13:16:41Z | |
| dc.date.available | 2021-11-29T13:16:41Z | |
| dc.date.issued | 2020-12-31 | |
| dc.description.abstract | 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. | tr_TR |
| dc.description.index | Trdizin | tr_TR |
| dc.identifier.endpage | 1427 | tr_TR |
| dc.identifier.issn/e-issn | 2618-6470 | |
| dc.identifier.issue | 2 | tr_TR |
| dc.identifier.startpage | 1418 | tr_TR |
| dc.identifier.uri | https://doi.org/10.31801/cfsuasmas.764635 | tr_TR |
| dc.identifier.uri | http://hdl.handle.net/20.500.12575/76433 | |
| dc.identifier.volume | 69 | tr_TR |
| dc.language.iso | en | tr_TR |
| dc.publisher | Ankara Üniversitesi Fen Fakültesi | tr_TR |
| dc.relation.isversionof | 10.31801/cfsuasmas.764635 | tr_TR |
| dc.relation.journal | Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics | tr_TR |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı | tr_TR |
| dc.subject | Heper nearring | tr_TR |
| dc.subject | Topological hyper nearrings | tr_TR |
| dc.subject | Complete part | tr_TR |
| dc.title | On proximity spaces and topological hyper nearrings | tr_TR |
| dc.type | Article | tr_TR |