{"title":"关于某些巴拿赫代数的(近似)同调概念","authors":"A. Sahami, R. Lotfikar, Ahmad Soltanmohamadi","doi":"10.20948/mathmontis-2020-47-1","DOIUrl":null,"url":null,"abstract":"In this paper, we study the notion of $\\phi$-biflatness, $\\phi$-biprojectivity, approximate biprojectivity and Johnson pseudo-contractibility for a new class of Banach algebras. Using this class of Banach algebras we give some examples which are approximately biprojective. Also some Banach algebras are given among matrix algebras which are never Johnson pseudo-contractible.","PeriodicalId":170315,"journal":{"name":"Mathematica Montisnigri","volume":"11 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On (approximate) homological notions of certain Banach algebras\",\"authors\":\"A. Sahami, R. Lotfikar, Ahmad Soltanmohamadi\",\"doi\":\"10.20948/mathmontis-2020-47-1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we study the notion of $\\\\phi$-biflatness, $\\\\phi$-biprojectivity, approximate biprojectivity and Johnson pseudo-contractibility for a new class of Banach algebras. Using this class of Banach algebras we give some examples which are approximately biprojective. Also some Banach algebras are given among matrix algebras which are never Johnson pseudo-contractible.\",\"PeriodicalId\":170315,\"journal\":{\"name\":\"Mathematica Montisnigri\",\"volume\":\"11 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-06-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematica Montisnigri\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.20948/mathmontis-2020-47-1\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematica Montisnigri","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.20948/mathmontis-2020-47-1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On (approximate) homological notions of certain Banach algebras
In this paper, we study the notion of $\phi$-biflatness, $\phi$-biprojectivity, approximate biprojectivity and Johnson pseudo-contractibility for a new class of Banach algebras. Using this class of Banach algebras we give some examples which are approximately biprojective. Also some Banach algebras are given among matrix algebras which are never Johnson pseudo-contractible.