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We describe torsion free abelian groups of finite rank applying matrices with polyadic entries. This description can be considered as a modification of the classic description by A. I. Mal'cev.
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Alexander A. Fomin, A matrix description for torsion free abelian groups of finite rank. Rend. Sem. Mat. Univ. Padova 144 (2020), pp. 115–128DOI 10.4171/RSMUP/60