{"title":"关于Segal拓扑代数性质的传递性","authors":"M. Abel","doi":"10.12697/acutm.2022.26.10","DOIUrl":null,"url":null,"abstract":"We show that if (A, f, B) and (B, g, C) are left (right or two-sided) Segal topological algebras for which g(f(A))⊆ g(B)g(f(A)) (g(f(A))⊆ g(f(A))g(B) or g(f(A))⊆ g(B)g(f(A))∩ g(f(A))g(B), respectively), then (A, g∘ f, C) is also a left (right or two-sided, respectively) Segal topological algebra.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":"77 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2022-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"About the transitivity of the property of being Segal topological algebra\",\"authors\":\"M. Abel\",\"doi\":\"10.12697/acutm.2022.26.10\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We show that if (A, f, B) and (B, g, C) are left (right or two-sided) Segal topological algebras for which g(f(A))⊆ g(B)g(f(A)) (g(f(A))⊆ g(f(A))g(B) or g(f(A))⊆ g(B)g(f(A))∩ g(f(A))g(B), respectively), then (A, g∘ f, C) is also a left (right or two-sided, respectively) Segal topological algebra.\",\"PeriodicalId\":42426,\"journal\":{\"name\":\"Acta et Commentationes Universitatis Tartuensis de Mathematica\",\"volume\":\"77 1\",\"pages\":\"\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2022-05-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta et Commentationes Universitatis Tartuensis de Mathematica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12697/acutm.2022.26.10\",\"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":"Acta et Commentationes Universitatis Tartuensis de Mathematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12697/acutm.2022.26.10","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
我们表明,如果(f, B)和(B、g、C)左(右、双边)Segal拓扑代数的g (f (A))⊆g (B) g (f (A)) (g (f (A))⊆g (f (A)) g (B)或g (f (A))⊆g (B) g (f (A))∩g (f (A)) g (B),分别),然后(g∘f C)也是一个左(右或两面分别)Segal拓扑代数。
About the transitivity of the property of being Segal topological algebra
We show that if (A, f, B) and (B, g, C) are left (right or two-sided) Segal topological algebras for which g(f(A))⊆ g(B)g(f(A)) (g(f(A))⊆ g(f(A))g(B) or g(f(A))⊆ g(B)g(f(A))∩ g(f(A))g(B), respectively), then (A, g∘ f, C) is also a left (right or two-sided, respectively) Segal topological algebra.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
