D. S. Chistyakov, O. V. Lyubimcev, “On torsion-free Abelian groups with <nobr>$UA$</nobr>-rings of endomorphisms”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2011, Number 2(14),Pages <nobr>55

This article is cited in 5 papers

MATHEMATICS

On torsion-free Abelian groups with $UA$-rings of endomorphisms

D. S. Chistyakov^a, O. V. Lyubimcev^b

^a Nizhny Novgorod Commercial Institute
^b Nizhny Novgorod State University of Architecture and Civil Engineering

Abstract: In this paper, we study almost completely decomposable and strongly indecomposable torsion-free rank 2 Abelian groups the endomorphism ring of which is a unique addition ring.

Keywords: unique addition ring, almost completely decomposable Abelian group, strongly indecomposable torsion-free Abelian group.

UDC: 512.541

Received: 26.10.2010