## Abelian group

### Set

 context $\langle X,* \rangle \in \mathrm{Group}(X)$ definiendum $\langle X,* \rangle \in \text{it}$ for all $a,b\in X$ postulate $a*b=b*a$

### Discussion

One generally calls $X$ the group, i.e. the set where the operation “$+$” is defined on.

An abelian group is also a module over the ring of integers.

Wikipedia: group