On character amenability of semigroup algebras

被引：0

作者：

Gholami, R. ^{[1
]}

Rahimi, H. ^{[1
]}

机构：

[1] Islamic Azad Univ, Dept Math, Cent Tehran Branch, Fac Sci, POB 13185-768, Tehran, Iran

来源：

BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA | 2019年 / 12卷 / 04期

关键词：

Character amenability; Character amenability modulo an ideal; Semigroup algebra;

D O I：

10.1007/s40574-018-00189-y

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 investigate the character amenability of semigroup algebras. In this regard, the new concept character amenability modulo an ideal of Banach algebras are introduced. For a large class of semigroups such as E-inversive E-semigroup and eventually inverse semigroups, it is shown that the semigroup S is amenable if and only if the semigroup algebra l(1)( S) is character amenable modulo an ideal. Some characterizations of character amenability modulo an ideal of Banach algebras are studied and interesting examples are presented.

引用

页码：517 / 524

页数：8

共 16 条

[11] On φ-amenability of Banach algebras
Kaniuth, Eberhard
Lau, Anthony T.
Pym, John
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2008, 144 : 85 - 96
[12] Maepa SM, 2015, QUAEST MATH, V39, P1
[13] Various notions of amenability in Banach algebras
Mewomo, O. T.
[J]. EXPOSITIONES MATHEMATICAE, 2011, 29 (03) : 283 - 299
[14] Character amenability of Banach algebras
Monfared, Mehdi Sangani
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2008, 144 : 697 - 706
[15] RUNDE V., 2002, LECT NOTES MATH, V1774
[16] Siripitukdet M, 2005, THAI J MATH, V3, P163

← 1 2 →