{"title":"论置换拓扑群及其基本性质","authors":"Abu Firas Muhammad Jawad Al Musawi, E. Suleiman","doi":"10.47974/jdmsc-1551","DOIUrl":null,"url":null,"abstract":"In this research, one of the non-classical sets, the permutation set, is utilized to analyze a new class of topological groups induced by β-sets, it is named permutation topological groups, and investigates some of its basic features. In addition, several results are applied to our permutation topological group class.","PeriodicalId":46563,"journal":{"name":"JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY","volume":null,"pages":null},"PeriodicalIF":1.2000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On permutation topological groups with their basic properties\",\"authors\":\"Abu Firas Muhammad Jawad Al Musawi, E. Suleiman\",\"doi\":\"10.47974/jdmsc-1551\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this research, one of the non-classical sets, the permutation set, is utilized to analyze a new class of topological groups induced by β-sets, it is named permutation topological groups, and investigates some of its basic features. In addition, several results are applied to our permutation topological group class.\",\"PeriodicalId\":46563,\"journal\":{\"name\":\"JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.47974/jdmsc-1551\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47974/jdmsc-1551","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
On permutation topological groups with their basic properties
In this research, one of the non-classical sets, the permutation set, is utilized to analyze a new class of topological groups induced by β-sets, it is named permutation topological groups, and investigates some of its basic features. In addition, several results are applied to our permutation topological group class.
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