nLab
free resolution

Context

Homological algebra

homological algebra

and

nonabelian homological algebra

Context

Basic definitions

Stable homotopy theory notions

Constructions

Lemmas

diagram chasing

Homology theories

Theorems

Homotopy theory

Contents

Idea

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

Properties

Existence

Proposition

For RR a ring, every RR-module admits a free resolution.

Examples

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)