short exact sequence

Let $A,B,C$ be objects in an abelian category. A is an exact sequence of the form

$$0\to A\to B\to C\to 0.$$

Note that in this case, the homomorphism $A\to B$ must be a monomorphism, and the homomorphism $B\to C$ must be an epimorphism.

Title	short exact sequence
Canonical name	ShortExactSequence
Date of creation	2013-03-22 12:09:29
Last modified on	2013-03-22 12:09:29
Owner	antizeus (11)
Last modified by	antizeus (11)
Numerical id	7
Author	antizeus (11)
Entry type	Definition
Classification	msc 16E05
Related topic	CategoricalSequence