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
收藏
页数：6
相关论文
共 50 条
  • [31] MODULE AMENABILITY OF BANACH ALGEBRAS AND SEMIGROUP ALGEBRAS
    Khoshhal, M.
    Bagha, D. Ebrahimi
    Rahpeyma, O. Pourbahri
    HONAM MATHEMATICAL JOURNAL, 2019, 41 (02): : 357 - 368
  • [32] Arens regularity and point Arens regularity of semigroup algebras
    Ramezani, R.
    Medghalchi, A. R.
    Laali, J.
    POSITIVITY, 2019, 23 (05) : 1215 - 1224
  • [33] Arens regularity and point Arens regularity of semigroup algebras
    R. Ramezani
    A. R. Medghalchi
    J. Laali
    Positivity, 2019, 23 : 1215 - 1224
  • [34] Module approximate biprojectivity and module approximate biflatness of Banach algebras
    Abasalt Bodaghi
    Somaye Grailoo Tanha
    Rendiconti del Circolo Matematico di Palermo Series 2, 2021, 70 : 409 - 425
  • [35] Module approximate biprojectivity and module approximate biflatness of Banach algebras
    Bodaghi, Abasalt
    Tanha, Somaye Grailoo
    RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2021, 70 (01) : 409 - 425
  • [36] THE STRUCTURE OF (φ, ψ)-MODULE CONTRACTIBLE BANACH ALGEBRAS
    Valaei, M.
    Zivari-Kazempour, A.
    Bodaghi, A.
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2021, 83 (04): : 135 - 146
  • [37] MODULE EXTENSION OF DUAL BANACH ALGEBRAS
    Gordji, Madjid Eshaghi
    Habibian, Fereydoun
    Rejali, Ali
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2010, 47 (04) : 663 - 673
  • [38] The Structure of φ-Module Amenable Banach Algebras
    Bami, Mahmood Lashkarizadeh
    Valaei, Mohammad
    Amini, Massoud
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [39] Derivations on the Module Extension Banach Algebras
    A. Teymouri
    A. Bodaghi
    D. Ebrahimi Bagha
    Ukrainian Mathematical Journal, 2021, 73 : 661 - 673
  • [40] MODULE APPROXIMATE AMENABILITY OF BANACH ALGEBRAS
    Pourmahmood-Aghababa, H.
    Bodaghi, A.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2013, 39 (06) : 1137 - 1158
12345