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 Fundam. Prikl. Mat., 2012, Volume 17, Issue 8, Pages 95–103 (Mi fpm1474)

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

E. N. Kurmanova, A. M. Sebeldin

Nizhny Novgorod State Pedagogical University

Abstract: 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.

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English version:
Journal of Mathematical Sciences (New York), 2014, 197:5, 649–654

UDC: 512.541

Citation: E. N. Kurmanova, A. M. Sebeldin, “Determination of the direct sums of rational groups by $H$-representations of the endomorphism rings up to equality”, Fundam. Prikl. Mat., 17:8 (2012), 95–103; J. Math. Sci., 197:5 (2014), 649–654

Citation in format AMSBIB
\Bibitem{KurSeb12} \by E.~N.~Kurmanova, A.~M.~Sebeldin \paper Determination of the direct sums of rational groups by $H$-representations of the endomorphism rings up to equality \jour Fundam. Prikl. Mat. \yr 2012 \vol 17 \issue 8 \pages 95--103 \mathnet{http://mi.mathnet.ru/fpm1474} \transl \jour J. Math. Sci. \yr 2014 \vol 197 \issue 5 \pages 649--654 \crossref{https://doi.org/10.1007/s10958-014-1747-9} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84893829315}