nLab free resolution

Context

Homological algebra

homological algebra

and

nonabelian homological algebra

diagram chasing

Contents

Idea

The resolution of a chain complex be a complex of free modules.

Properties

Existence

Proposition

For $R$ a ring, every $R$-module admits a free resolution.

References

Lecture notes include for instance

around page 5 of

Revised on November 11, 2013 09:43:08 by Urs Schreiber (89.204.139.159)