{"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}
引用次数: 0
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.