projective resolution
ProjectiveResolution
2002-01-05 16:10:33
2003-09-20 21:43:53
Definition
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{graphicx}
\usepackage{xypic}
Let $M$ be a module. A {\it projective resolution} of $M$
is an exact sequence of the form
$$\cdots \to P_n \to P_{n-1} \to \cdots \to P_1 \to P_0 \to M \to 0$$
where each $P_n$ is a projective module.