Ivan Shishkin, Rye (1878)

Problems/GroupExerciseUnreviewed

Elément neutre du groupe des entiers relatifs

by Ancient Tree·
25
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Dans le groupe (Z,+)(\mathbb{Z},+) des entiers relatifs avec l’addition, quel est l'élément neutre ?

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Solution by Ancient Tree

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Il s’agit du 0. En effet, pour tout entier n∈Zn\in \Z, on a 0+n=n0+n=n et n+0=nn+0=n, ce qui montre que 00 est élément neutre pour l’addition.

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