How do you call groups formed as direct sums of cyclic groups?

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What do you call groups of the form $\mathbb{Z}\oplus\mathbb{Z}\oplus\cdots\oplus\mathbb{Z}/\mathbb{Z}d_1\oplus\mathbb{Z}/\mathbb{Z}d_2\oplus\cdots$ These kind of groups usualy appear as homology groups. Is it just a classification of abelian groups?