# 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 ShortExactSequence 2013-03-22 12:09:29 2013-03-22 12:09:29 antizeus (11) antizeus (11) 7 antizeus (11) Definition msc 16E05 CategoricalSequence