Rank of an abelian group
= Rank of an abelian group
{wiki=Rank_of_an_abelian_group}
The **rank** of an abelian group is a concept that generally refers to the maximum number of linearly independent elements in the group when it is considered as a module over the integers. For finitely generated abelian groups, the rank can be understood in relation to the structure theorem for finitely generated abelian groups.