I want to study the structure of cokernel of abelian group homomorphism.
Is it true that $\mathbb{Z}^2/<(1,1)>$ is cyclic group isomorphic to $\mathbb{Z}$?
I want to study the structure of cokernel of abelian group homomorphism.
Is it true that $\mathbb{Z}^2/<(1,1)>$ is cyclic group isomorphic to $\mathbb{Z}$?