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.

Reference

Wikipedia: group

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