MODULE AMENABILITY AND MODULE ARENS REGULARITY OF WEIGHTED SEMIGROUP ALGEBRAS

被引：5
|
作者：
Asgari, Gholamreza [1 ]
Bodaghi, Abasalt [2 ]
Bagha, Davood Ebrahimi [1 ]
机构：
[1] Islamic Azad Univ, Dept Math, Cent Tehran Branch, Tehran, Iran
[2] Islamic Azad Univ, Dept Math, Garmsar Branch, Garmsar, Iran
来源：
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2019年 / 34卷 / 03期
关键词：
Banach modules; inverse semigroup; module Arens regularity; module amenability;
D O I：
10.4134/CKMS.c170320
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For every inverse semigroup S with subsemigroup E of idem-potents, necessary and sufficient conditions are obtained for the weighted semigroup algebra l(1) (S, omega) and its second dual to be l(1) (E)-module amen-ble. Some results for the module Arens regularity of l(1) (S, omega) (as an (1)(l) (E)-module) are found. If S is either of the bicyclic inverse semigroup or the Brandt inverse semigroup, it is shown that l(1) (S, omega) is module amenable but not amenable for any weight omega.
引用
收藏
页码：743 / 755
页数：13
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