On strict homological dimensions of algebras of continuous functions

被引：0
|
作者：
S. B. Tabaldyev
机构：
[1] N. É. Bauman Moscow State Technical University,
来源：
Mathematical Notes | 2006年 / 80卷
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：
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学科分类号：
摘要：
We prove that, for each nonnegative integer n and n = ∞, there exists a compact topological space Ω such that the strict global dimension and the strict bidimension of the Banach algebra C(Ω) of all continuous functions on Ω are equal to n. We also obtain several “additivity formulas” for the strict homological dimensions of strict Banach algebras.
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页码：715 / 725
页数：10
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