New Concepts on Module Arens Regularity for Module Banach Algebras

Omid Pourbahri Rahpeyma, Davood Ebrahimi Bagha, Ghasem Soleimani Rad and Luigi RaritÃ

Journal of Mathematics, 2024, vol. 2024, 1-6

Abstract: 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.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6817924

DOI: 10.1155/2024/6817924

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