(2n+1)-Weak Module Amenability of Triangular Banach Algebras on Inverse Semigroup Algebras
Let be a commutative (not necessary unital) inverse semigroup with the set of idempotents then is a commutative Banach -module with canonical actions. Recently, it is shown that the triangular Banach algebrais -weakly -module amenable, provided that and is unital or satisfies conditio...
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University of Tehran
2021-12-01
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| Series: | Journal of Sciences, Islamic Republic of Iran |
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| Online Access: | https://jsciences.ut.ac.ir/article_80609_22fcadaa3ef1f9f7a311dce86952a300.pdf |
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| author | Ebrahim Nasrabadi Mohammad Ramezanpour Asadollah Aasaraai |
| author_facet | Ebrahim Nasrabadi Mohammad Ramezanpour Asadollah Aasaraai |
| author_sort | Ebrahim Nasrabadi |
| collection | DOAJ |
| description | Let be a commutative (not necessary unital) inverse semigroup with the set of idempotents then is a commutative Banach -module with canonical actions. Recently, it is shown that the triangular Banach algebrais -weakly -module amenable, provided that and is unital or satisfies condition for some . In this paper, we show that is -weakly -module amenable, without any additional conditions on and , if is a certain quotient space of . |
| format | Article |
| id | doaj-art-c06af561764945ff9149d07b622dca91 |
| institution | OA Journals |
| issn | 1016-1104 2345-6914 |
| language | English |
| publishDate | 2021-12-01 |
| publisher | University of Tehran |
| record_format | Article |
| series | Journal of Sciences, Islamic Republic of Iran |
| spelling | doaj-art-c06af561764945ff9149d07b622dca912025-08-20T02:25:54ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69142021-12-0132434134710.22059/jsciences.2021.295337.100747880609(2n+1)-Weak Module Amenability of Triangular Banach Algebras on Inverse Semigroup AlgebrasEbrahim Nasrabadi0Mohammad Ramezanpour1Asadollah Aasaraai2Department of Mathematic, Faculty of Mathematic Science and Statistics, University of Birjand, Birjand, Islamic Republic of IranSchool of Mathematics and Computer Science, Damghan University, Damghan, Islamic Republic of IranDepartment of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Islamic Republic of IranLet be a commutative (not necessary unital) inverse semigroup with the set of idempotents then is a commutative Banach -module with canonical actions. Recently, it is shown that the triangular Banach algebrais -weakly -module amenable, provided that and is unital or satisfies condition for some . In this paper, we show that is -weakly -module amenable, without any additional conditions on and , if is a certain quotient space of .https://jsciences.ut.ac.ir/article_80609_22fcadaa3ef1f9f7a311dce86952a300.pdfinverse semigrouptriangular banach algebrafirst module cohomology groupweak module amenability, ("n)" -weak module amenability |
| spellingShingle | Ebrahim Nasrabadi Mohammad Ramezanpour Asadollah Aasaraai (2n+1)-Weak Module Amenability of Triangular Banach Algebras on Inverse Semigroup Algebras Journal of Sciences, Islamic Republic of Iran inverse semigroup triangular banach algebra first module cohomology group weak module amenability, ("n)" -weak module amenability |
| title | (2n+1)-Weak Module Amenability of Triangular Banach Algebras on Inverse Semigroup Algebras |
| title_full | (2n+1)-Weak Module Amenability of Triangular Banach Algebras on Inverse Semigroup Algebras |
| title_fullStr | (2n+1)-Weak Module Amenability of Triangular Banach Algebras on Inverse Semigroup Algebras |
| title_full_unstemmed | (2n+1)-Weak Module Amenability of Triangular Banach Algebras on Inverse Semigroup Algebras |
| title_short | (2n+1)-Weak Module Amenability of Triangular Banach Algebras on Inverse Semigroup Algebras |
| title_sort | 2n 1 weak module amenability of triangular banach algebras on inverse semigroup algebras |
| topic | inverse semigroup triangular banach algebra first module cohomology group weak module amenability, ("n)" -weak module amenability |
| url | https://jsciences.ut.ac.ir/article_80609_22fcadaa3ef1f9f7a311dce86952a300.pdf |
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