{"title":"Monoid与拓扑Groupoid","authors":"Mohammad Qasim Mann’a","doi":"10.18311/JIMS/2018/15930","DOIUrl":null,"url":null,"abstract":"Here we introduce some new results which are relative to the concept of topological monoid-groupoid and prove that the category of topological monoid coverings of X is equivalent to the category covering groupoids of the monoid-groupoid π 1 (X). Also, it is shown that the monoid structure of monoid-groupoid lifts to a universal covering groupoid.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":"85 1","pages":"192-201"},"PeriodicalIF":0.0000,"publicationDate":"2018-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Monoid and Topological Groupoid\",\"authors\":\"Mohammad Qasim Mann’a\",\"doi\":\"10.18311/JIMS/2018/15930\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Here we introduce some new results which are relative to the concept of topological monoid-groupoid and prove that the category of topological monoid coverings of X is equivalent to the category covering groupoids of the monoid-groupoid π 1 (X). Also, it is shown that the monoid structure of monoid-groupoid lifts to a universal covering groupoid.\",\"PeriodicalId\":38246,\"journal\":{\"name\":\"Journal of the Indian Mathematical Society\",\"volume\":\"85 1\",\"pages\":\"192-201\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-01-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Indian Mathematical Society\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.18311/JIMS/2018/15930\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Indian Mathematical Society","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18311/JIMS/2018/15930","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
Here we introduce some new results which are relative to the concept of topological monoid-groupoid and prove that the category of topological monoid coverings of X is equivalent to the category covering groupoids of the monoid-groupoid π 1 (X). Also, it is shown that the monoid structure of monoid-groupoid lifts to a universal covering groupoid.
期刊介绍：
The Society began publishing Progress Reports right from 1907 and then the Journal from 1908 (The 1908 and 1909 issues of the Journal are entitled "The Journal of the Indian Mathematical Club"). From 1910 onwards,it is published as its current title ''the Journal of Indian Mathematical Society. The four issues of the Journal constitute a single volume and it is published in two parts: issues 1 and 2 (January to June) as one part and issues 3 and 4 (July to December) as the second part. The four issues of the Mathematics Student (another periodical of the Society) are published as a single yearly volume. Only the original research papers of high quality are published in the Journal of Indian Mathematical Society.
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