# Injection

From Encyclopedia of Mathematics

*injective mapping, of a set into a set *

A mapping under which different elements of have different images in . An injection is also called an imbedding (or inclusion) of into .

#### Comments

In category theory, a morphism is called injective if for all morphisms and : If , then .

**How to Cite This Entry:**

Injection.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Injection&oldid=11558

This article was adapted from an original article by O.A. Ivanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article