{"title":"C(X)代数范畴中的注入性","authors":"Massoud Amini, Farid Behrouzi","doi":"10.1007/s13226-024-00571-x","DOIUrl":null,"url":null,"abstract":"<p>Let <i>X</i> be a compact Hausdorff space. We show the existence and uniqueness of injective envelope in the category of unital <span>\\(C(X)\\)</span>-algebras. As an application, we characterize injective objects in the category of upper semi-continuous C*-bundles.</p>","PeriodicalId":501427,"journal":{"name":"Indian Journal of Pure and Applied Mathematics","volume":"23 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Injectivity in the category of C(X)-algebras\",\"authors\":\"Massoud Amini, Farid Behrouzi\",\"doi\":\"10.1007/s13226-024-00571-x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Let <i>X</i> be a compact Hausdorff space. We show the existence and uniqueness of injective envelope in the category of unital <span>\\\\(C(X)\\\\)</span>-algebras. As an application, we characterize injective objects in the category of upper semi-continuous C*-bundles.</p>\",\"PeriodicalId\":501427,\"journal\":{\"name\":\"Indian Journal of Pure and Applied Mathematics\",\"volume\":\"23 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-05-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Indian Journal of Pure and Applied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1007/s13226-024-00571-x\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Indian Journal of Pure and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s13226-024-00571-x","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
让 X 是一个紧凑的 Hausdorff 空间。我们证明了在undital \(C(X)\)-algebras范畴中注入包络的存在性和唯一性。作为应用，我们描述了上半连续 C* 束范畴中的注入对象。
Let X be a compact Hausdorff space. We show the existence and uniqueness of injective envelope in the category of unital \(C(X)\)-algebras. As an application, we characterize injective objects in the category of upper semi-continuous C*-bundles.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
