endomorphism ring of the integers canonically isomorphic to the integers

1. Proposition

Given the integers, the endomorphism ring is canonically isomorphic to the integers

\begin{align*} \mathrm{Hom}_{\mathrm{Grp}}(\mathbb{Z}, \mathbb{Z}) \cong \mathbb{Z} \end{align*}

2. Proof

Date: nil

Author: Anton Zakrewski

Created: 2024-10-19 Sa 21:26