Finite generation in C-algebras and Hilbert C-modules

被引：5

作者：

Blecher, David P. ^{[1
]}

Kania, Tomasz ^{[2
,3
]}

机构：

[1] Univ Houston, Dept Math, Houston, TX 77204 USA

[2] Polish Acad Sci, Inst Math, PL-00656 Warsaw, Poland

[3] Univ Lancaster, Fylde Coll, Dept Math & Stat, Lancaster LA1 4YF, England

来源：

STUDIA MATHEMATICA | 2014年 / 224卷 / 02期

基金：

美国国家科学基金会;

关键词：

Hilbert module; C*-module; finitely generated ideal; algebraically finitely generated; maximal ideal; C*-algebra; Dales-Zelazko conjecture; SUBMODULES;

D O I：

10.4064/sm224-2-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize C*-algebras and C*-modules such that every maximal right ideal (resp. right submodule) is algebraically finitely generated. In particular, C*-algebras satisfy the Dales-Zelazko conjecture.

引用

页码：143 / 151

页数：9

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Finite generation in C*-algebras and Hilbert C*-modules

Finite generation in C-algebras and Hilbert C-modules