On strict homological dimensions of algebras of continuous functions

被引：1

作者：

Tabaldyev, S. B. ^{[1
]}

机构：

[1] NE Bauman Moscow State Tech Univ, Moscow, Russia

来源：

MATHEMATICAL NOTES | 2006年 / 80卷 / 5-6期

基金：

俄罗斯基础研究基金会;

关键词：

compact topological space; strict Banach algebra; strict homological dimension; global dimension; weak (injective) tensor product; maximal ideal; A-module;

D O I：

10.1007/s11006-006-0192-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that, for each nonnegative integer n and n = infinity, there exists a compact topological space Omega such that the strict global dimension and the strict bidimension of the Banach algebra C(Omega) of all continuous functions on Omega are equal ton. We also obtain several "additivity formulas" for the strict homological dimensions of strict Banach algebras.

引用

页码：715 / 725

页数：11

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