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Injection

From Encyclopedia of Mathematics
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injective mapping, of a set into a set

A mapping $ f : A \to B $ 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=21081
This article was adapted from an original article by O.A. Ivanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article