{"title":"阿基米德单元f数组中自约化元素的特征","authors":"Mohamed Ali Toumi","doi":"10.1007/s00013-024-02007-8","DOIUrl":null,"url":null,"abstract":"<div><p>We give a complete description of self-majorizing elements of Archimedean unital <i>f</i>-algebras. As an application, we furnish a new characterization of self-majorizing elements of Archimedean vector lattices.</p></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Characterization of self-majorizing elements in Archimedean unital f-algebras\",\"authors\":\"Mohamed Ali Toumi\",\"doi\":\"10.1007/s00013-024-02007-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We give a complete description of self-majorizing elements of Archimedean unital <i>f</i>-algebras. As an application, we furnish a new characterization of self-majorizing elements of Archimedean vector lattices.</p></div>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-06-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00013-024-02007-8\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s00013-024-02007-8","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
我们完整地描述了阿基米德单元素 f 结构的自约化元素。作为应用,我们对阿基米德向量网格的自约化元素进行了新的描述。
Characterization of self-majorizing elements in Archimedean unital f-algebras
We give a complete description of self-majorizing elements of Archimedean unital f-algebras. As an application, we furnish a new characterization of self-majorizing elements of Archimedean vector lattices.