New Concepts on Module Arens Regularity for Module Banach Algebras

被引：0

作者：

Rahpeyma, Omid Pourbahri ^{[1
]}

Bagha, Davood Ebrahimi ^{[2
]}

Rad, Ghasem Soleimani ^{[2
]}

机构：

[1] Islamic Azad Univ, Dept Math, Chalous Branch, Chalus, Iran

[2] Islamic Azad Univ, Dept Math, Cent Tehran Branch, Tehran, Iran

来源：

JOURNAL OF MATHEMATICS | 2024年 / 2024卷

关键词：

AMENABILITY;

D O I：

10.1155/2024/6817924

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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/approximate to is finite.

引用

页数：6

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