D. S. Chistyakov, “Torsion-Free Abelian Groups of Finite Rank as Endomorphic Modules over Their Endomorphism Ring”, Mat. Zametki, 2013, Volume 94, Issue 5,Pages <nobr>770

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Torsion-Free Abelian Groups of Finite Rank as Endomorphic Modules over Their Endomorphism Ring

D. S. Chistyakov

Nizhny Novgorod Commercial Institute

Abstract: In the paper, the additivity problem for homogeneous mappings of torsion-free Abelian groups of finite rank is solved and some close problems are considered.

Keywords: additivity problem, homogeneous mapping, torsion-free Abelian group of finite rank, near-ring, endomorphic (semi-endomorphic module), endodistributive Abelian group.

UDC: 512.541

Received: 28.06.2011
Revised: 20.12.2011

DOI: 10.4213/mzm9202