S. Saleh, T. M. Al-Shami, L. R. Flaih, M. Arar, R. Abu-Gdairi
{"title":"Ri-separation axioms via supra soft topological spaces","authors":"S. Saleh, T. M. Al-Shami, L. R. Flaih, M. Arar, R. Abu-Gdairi","doi":"10.22436/jmcs.032.03.07","DOIUrl":null,"url":null,"abstract":"The aim of this study is to introduce and investigate two new classes of separation axioms called supra soft R 0 and supra soft R 1 . They are defined in the spaces of supra soft topologies by using the notions of supra soft open sets and supra soft closure operator. We discuss the basic properties and characterizations of them. We also study the relationships between these classes and some other supra soft separation axioms with many results and explanative examples. Moreover, the connections between the properties of these classes and those in some generated soft topologies are presented. Finally, we show that these classes are preserved under subspaces, which means they are supra soft topological properties","PeriodicalId":45497,"journal":{"name":"Journal of Mathematics and Computer Science-JMCS","volume":null,"pages":null},"PeriodicalIF":2.0000,"publicationDate":"2023-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematics and Computer Science-JMCS","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22436/jmcs.032.03.07","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
Abstract
The aim of this study is to introduce and investigate two new classes of separation axioms called supra soft R 0 and supra soft R 1 . They are defined in the spaces of supra soft topologies by using the notions of supra soft open sets and supra soft closure operator. We discuss the basic properties and characterizations of them. We also study the relationships between these classes and some other supra soft separation axioms with many results and explanative examples. Moreover, the connections between the properties of these classes and those in some generated soft topologies are presented. Finally, we show that these classes are preserved under subspaces, which means they are supra soft topological properties