New Concepts on Module Arens Regularity for Module Banach Algebras
The main purpose of this paper is to introduce a new definition of JA-module Arens regularity, which extends former standard definition. Then a new module structure on the semigroup algebra l1S as l1ES-module with nontrivial right and left module actions is constructed. Using this construction, it i...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/6817924 |
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| _version_ | 1832545247190581248 |
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| author | Omid Pourbahri Rahpeyma Davood Ebrahimi Bagha Ghasem Soleimani Rad |
| author_facet | Omid Pourbahri Rahpeyma Davood Ebrahimi Bagha Ghasem Soleimani Rad |
| author_sort | Omid Pourbahri Rahpeyma |
| collection | DOAJ |
| description | The main purpose of this paper is to introduce a new definition of JA-module Arens regularity, which extends former standard definition. Then a new module structure on the semigroup algebra l1S as l1ES-module with nontrivial right and left module actions is constructed. Using this construction, it is also proved that l1S is a Jl1S-module Arens regular if and only if S/≈ is finite. |
| format | Article |
| id | doaj-art-90692a7737b54119ad62e90394b0eca8 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-90692a7737b54119ad62e90394b0eca82025-02-03T07:26:20ZengWileyJournal of Mathematics2314-47852024-01-01202410.1155/2024/6817924New Concepts on Module Arens Regularity for Module Banach AlgebrasOmid Pourbahri Rahpeyma0Davood Ebrahimi Bagha1Ghasem Soleimani Rad2Department of MathematicsDepartment of MathematicsDepartment of MathematicsThe main purpose of this paper is to introduce a new definition of JA-module Arens regularity, which extends former standard definition. Then a new module structure on the semigroup algebra l1S as l1ES-module with nontrivial right and left module actions is constructed. Using this construction, it is also proved that l1S is a Jl1S-module Arens regular if and only if S/≈ is finite.http://dx.doi.org/10.1155/2024/6817924 |
| spellingShingle | Omid Pourbahri Rahpeyma Davood Ebrahimi Bagha Ghasem Soleimani Rad New Concepts on Module Arens Regularity for Module Banach Algebras Journal of Mathematics |
| title | New Concepts on Module Arens Regularity for Module Banach Algebras |
| title_full | New Concepts on Module Arens Regularity for Module Banach Algebras |
| title_fullStr | New Concepts on Module Arens Regularity for Module Banach Algebras |
| title_full_unstemmed | New Concepts on Module Arens Regularity for Module Banach Algebras |
| title_short | New Concepts on Module Arens Regularity for Module Banach Algebras |
| title_sort | new concepts on module arens regularity for module banach algebras |
| url | http://dx.doi.org/10.1155/2024/6817924 |
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