{"title":"关于近似σ-双平面Banach代数","authors":"Sanaz Haddad Sabzevar, Amin Mahmoodi","doi":"10.1007/s40306-021-00458-7","DOIUrl":null,"url":null,"abstract":"<div><p>We define and study approximate versions of <i>σ</i>-biflatness and <i>σ</i>-biprojectivity of a Banach algebra <i>A</i> where <i>σ</i> ∈Hom(<i>A</i>). We generalize the concepts pseudo amenability and pseudo contractibility via homomorphisms. We investigate their relations.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2021-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"On Approximately σ-biflat Banach Algebras\",\"authors\":\"Sanaz Haddad Sabzevar, Amin Mahmoodi\",\"doi\":\"10.1007/s40306-021-00458-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We define and study approximate versions of <i>σ</i>-biflatness and <i>σ</i>-biprojectivity of a Banach algebra <i>A</i> where <i>σ</i> ∈Hom(<i>A</i>). We generalize the concepts pseudo amenability and pseudo contractibility via homomorphisms. We investigate their relations.</p></div>\",\"PeriodicalId\":45527,\"journal\":{\"name\":\"Acta Mathematica Vietnamica\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2021-10-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Mathematica Vietnamica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s40306-021-00458-7\",\"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 Mathematica Vietnamica","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s40306-021-00458-7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
We define and study approximate versions of σ-biflatness and σ-biprojectivity of a Banach algebra A where σ ∈Hom(A). We generalize the concepts pseudo amenability and pseudo contractibility via homomorphisms. We investigate their relations.
期刊介绍：
Acta Mathematica Vietnamica is a peer-reviewed mathematical journal. The journal publishes original papers of high quality in all branches of Mathematics with strong focus on Algebraic Geometry and Commutative Algebra, Algebraic Topology, Complex Analysis, Dynamical Systems, Optimization and Partial Differential Equations.
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