[[!redirects rationalized abelian group]] [[!redirects rationalized abelian groups]] ## Defintion ## The **rationalization** of an [[abelian group]] $G$ is the tensor product $G \otimes \mathbb{Q}$ of $G$ with the [[rational numbers]] $\mathbb{Q}$. $G \otimes \mathbb{Q}$ is also called a **rationalized abelian group**. ## See also ## * [[rational numbers]] * [[abelian group]] * [[torsion-free divisible group]] * [[rationalization of a simply connected type]] category: not redirected to nlab yet