{"title":"基于前开集的拓扑代数","authors":"M. Gnanachandra, P. Kumar, A. Muneesh","doi":"10.46753/pjaa.2021.v08i01(i).003","DOIUrl":null,"url":null,"abstract":"Summary: In this paper, we elucidate the theory of p -topological group and p -topological ring. Also examine its properties with appropriate examples. Besides, we analyze subrings and ideals of p -topological rings. In addition, we evince that closure of a subring in a p -topological ring is a p -topological ring.","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"TOPOLOGICAL ALGEBRA IN VIRTUE OF PRE-OPEN SETS\",\"authors\":\"M. Gnanachandra, P. Kumar, A. Muneesh\",\"doi\":\"10.46753/pjaa.2021.v08i01(i).003\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Summary: In this paper, we elucidate the theory of p -topological group and p -topological ring. Also examine its properties with appropriate examples. Besides, we analyze subrings and ideals of p -topological rings. In addition, we evince that closure of a subring in a p -topological ring is a p -topological ring.\",\"PeriodicalId\":37079,\"journal\":{\"name\":\"Poincare Journal of Analysis and Applications\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-06-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Poincare Journal of Analysis and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46753/pjaa.2021.v08i01(i).003\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Poincare Journal of Analysis and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46753/pjaa.2021.v08i01(i).003","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Summary: In this paper, we elucidate the theory of p -topological group and p -topological ring. Also examine its properties with appropriate examples. Besides, we analyze subrings and ideals of p -topological rings. In addition, we evince that closure of a subring in a p -topological ring is a p -topological ring.