{"title":"Banach代数的一些模上同调性质","authors":"Elham Ilka, A. Mahmoodi, A. Bodaghi","doi":"10.21136/MB.2019.0055-17","DOIUrl":null,"url":null,"abstract":"We find some relations between module biprojectivity and module biflatness of Banach algebras A and B and their projective tensor productA ⊗B. For some semigroups S, we study module biprojectivity and module biflatness of semigroup algebras l(S).","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":" ","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Some module cohomological properties of Banach algebras\",\"authors\":\"Elham Ilka, A. Mahmoodi, A. Bodaghi\",\"doi\":\"10.21136/MB.2019.0055-17\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We find some relations between module biprojectivity and module biflatness of Banach algebras A and B and their projective tensor productA ⊗B. For some semigroups S, we study module biprojectivity and module biflatness of semigroup algebras l(S).\",\"PeriodicalId\":45392,\"journal\":{\"name\":\"Mathematica Bohemica\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2020-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematica Bohemica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.21136/MB.2019.0055-17\",\"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":"Mathematica Bohemica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21136/MB.2019.0055-17","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Some module cohomological properties of Banach algebras
We find some relations between module biprojectivity and module biflatness of Banach algebras A and B and their projective tensor productA ⊗B. For some semigroups S, we study module biprojectivity and module biflatness of semigroup algebras l(S).
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