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I am focused on Section 1.1 Rings and need some help to fully understand the proof of part of Example 7 on page 10 ... ...

Example 7 on page 10 reads as follows:View attachment 8197In the above example from Bland we read the following:

" ... ... \(\displaystyle \text{ End}_\mathbb{Z} (G) \) denotes the set of all group homomorphisms \(\displaystyle f \ : \ G \to G\) ... ... "Can someone explain exactly why \(\displaystyle \mathbb{Z}\) is in the symbol/notation \(\displaystyle \text{ End}_\mathbb{Z} (G) \) for the set of all group homomorphisms \(\displaystyle f \ : \ G \to G\) ... ... ?Peter