Question

@dan815

Answer 1

Suppose \(f\) : A \(\rightarrow\) B and \(g\) : B \(\rightarrow\) C are homomorphisms of abelian groups. Show me that there is an exact sequence!!

0 \(\rightarrow\) ker(\(f\)) \(\rightarrow\) ker (\(gf\)) \(\rightarrow\) ker (\(g\)) \(\rightarrow\) coker (\(f\)) \(\rightarrow\) coker (\(gf\)) \(\rightarrow\) coker (\(g\)) \(\rightarrow\) 0

Answer 2

Which part of Maths is this?? :P

Answer 3

category theory

Answer 4

I'm not certain whether this statement is true.
Here's my thinking: Lets consider the following groups and homonorphisms