FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

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

**Homological properties of algebra $C(X)$ in
non-Archimedean analysis**

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 $I$Ì C(X) as left modules
and bimodules.

All articles are
published in Russian.

Location: http://mech.math.msu.su/~fpm/eng/k01/k014/k01405h.htm

Last modified: April 17, 2002