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.
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页数：6
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