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=11558
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