Additivity of homological dimensions for a class of Banach algebras

被引：1

作者：

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

机构：

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

来源：

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2006年 / 40卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

global homological dimension; homological bidimension; projective Banach module; metrizable compact space; derived set;

D O I：

10.1007/s10688-006-0040-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let Omega be a metrizable compact space. Suppose that its derived set of some finite order is empty. Let B be a unital Banach algebra, and let (circle times) over cap stand for the projective tensor product. We prove the additivity formulas dg C(Omega)(circle times) over capB = dg C(Omega) + dg B and db C(Omega)(circle times) over capB = db C(Omega) + db B for the global homological dimension and the homological bidimension. Thus these formulas are true for a new class of commutative Banach algebras in addition to those considered earlier by Selivanov.

引用

页码：244 / 246

页数：3