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New Concepts on Module Arens Regularity for Module Banach Algebras

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  • Omid Pourbahri Rahpeyma
  • Davood Ebrahimi Bagha
  • Ghasem Soleimani Rad
  • Luigi RaritÃ

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.

Suggested Citation

  • Omid Pourbahri Rahpeyma & Davood Ebrahimi Bagha & Ghasem Soleimani Rad & Luigi RaritÃ, 2024. "New Concepts on Module Arens Regularity for Module Banach Algebras," Journal of Mathematics, Hindawi, vol. 2024, pages 1-6, July.
    • Handle: RePEc:hin:jjmath:6817924
    DOI: 10.1155/2024/6817924
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