FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2011/2012, VOLUME 17, NUMBER 8, PAGES 95-103

**Determination of the direct sums of rational groups by
$H$-representations of the endomorphism rings
up to equality**

E. N. Kurmanova

A. M. Sebeldin

Abstract

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The problem of determination of Abelian groups (up to isomorphism) by
their rings of endomorphisms in the class of completely decomposable
torsion-free Abelian groups has been solved earlier.
For the class of direct sums of rational groups one can speak about
determination of Abelian groups by rational representations of their
endomorphism rings up to equality.
In this paper, we consider this problem for the class of finite direct
sums of rational groups and for some subclasses.

Location: http://mech.math.msu.su/~fpm/eng/k1112/k118/k11810h.htm

Last modified: March 23, 2013