# nLab projective cover

Contents

category theory

## Applications

#### Homological algebra

homological algebra

Introduction

diagram chasing

# Contents

## Definition

For $N \in \mathcal{A}$ an object, a projective cover is a morphism $\tilde N \to N$ out of a projective object which is a superfluous epimorphism.

## References

• U. Shukla, On the projective cover of a module and related results, Pacific J. Math. Volume 12, Number 2 (1962), 709-717 (Euclid)

• Wikipedia, Projective cover

Last revised on September 26, 2020 at 10:55:49. See the history of this page for a list of all contributions to it.