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
  • [1] Arens regularity of module actions and weak amenability of Banach algebras
    Ali Bagheri Vakilabad
    Kazem Haghnejad Azar
    Ali Jabbari
    Periodica Mathematica Hungarica, 2015, 71 : 224 - 235
  • [2] Arens regularity of module actions and weak amenability of Banach algebras
    Vakilabad, Ali Bagheri
    Azar, Kazem Haghnejad
    Jabbari, Ali
    PERIODICA MATHEMATICA HUNGARICA, 2015, 71 (02) : 224 - 235
  • [3] Module Arens regularity for semigroup algebras
    Rezavand, Reza
    Amini, Massoud
    Sattari, Mohammad Hossein
    Bagha, Davood Ebrahimi
    SEMIGROUP FORUM, 2008, 77 (02) : 300 - 305
  • [4] Module Arens regularity for semigroup algebras
    Reza Rezavand
    Massoud Amini
    Mohammad Hossein Sattari
    Davood Ebrahimi Bagha
    Semigroup Forum, 2008, 77 : 300 - 305
  • [5] ARENS REGULARITY AND MODULE ARENS REGULARITY OF MODULE ACTIONS
    Amini, Massoud
    Bodaghi, Abasalt
    Ettefagh, Mina
    Azar, Kazem Haghnejad
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2012, 74 (02): : 75 - 86
  • [6] MODULE AMENABILITY AND MODULE ARENS REGULARITY OF WEIGHTED SEMIGROUP ALGEBRAS
    Asgari, Gholamreza
    Bodaghi, Abasalt
    Bagha, Davood Ebrahimi
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2019, 34 (03): : 743 - 755
  • [7] Corrigendum to: Module Arens Regularity for Semigroup Algebras
    Reza Rezavand
    Massoud Amini
    Mohammad Hossein Sattari
    Davood Ebrahimi Bagha
    Semigroup Forum, 2009, 79 : 214 - 215
  • [8] ARENS REGULARITY OF BILINEAR MAPS AND BANACH MODULE ACTIONS
    Sahleh, A.
    Najarpisheh, L.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2017, 43 (02): : 285 - 289
  • [9] ARENS REGULARITY OF BILINEAR FORMS AND UNITAL BANACH MODULE SPACES
    Azar, K. Haghnejad
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2014, 40 (02): : 505 - 520
  • [10] Arens Regularity of Banach Module Actions and the Strongly Irregular Property
    Sheikhali, Abotaleb
    Sheikhali, Abdolmotaleb
    Akhlaghi, Neda
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2014, 13 (01): : 41 - 46
12345