|
|||||
|
|
On strict homological dimensions of algebras of continuous functions |
|
| Authors: | S. B. Tabaldyev |
| Affiliation: | (1) N. é. Bauman Moscow State Technical University, Russia |
| Abstract: | 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. |
| Keywords: | compact topological space strict Banach algebra strict homological dimension global dimension weak (injective) tensor product maximal ideal A-module |
| 本文献已被 SpringerLink 等数据库收录！ | |