FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2001, VOLUME 7, NUMBER 4, PAGES 1037-1046

A. V. Kuzmin

Abstract

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In this article the author offers a variant of homological theory
in non-Archimedean analysis and computes the left global dimension
and bidimension
of an algebra
```$C(X)$ of all continuous functions on an ultrametrizable
compact set $X$ . To the moment the analogous problem in Archimedean analysis
is still not solved. More generally, the author computes the homological
dimensions of ideals $I \subset C(X)$ as left modules and bimodules.

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Last modified: April 17, 2002