Topologically Noetherian Banach algebras

被引：0
|
作者：
Aldosray, Falih A. M. [1 ]
El Harti, Rachid [1 ]
机构：
[1] Umm Al Qura Univ, Dept Math, POB 56199, Mecca, Saudi Arabia
来源：
COGENT MATHEMATICS | 2016年 / 3卷
关键词：
Noetherian and topological Banach algebras;
D O I：
10.1080/23311835.2016.1234182
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work, we introduce and study the properties of topologically Noetherian Banach algebras. In particular, we prove, if every prime closed ideal of a commutative Banach algebra A is maximal, then A is finite dimensional. Finally, we show that if every maximal ideal of a Banach algebra is generated by idempotent element then the Banach algebra is finite dimensional.
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收藏
页数：4
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