Abstract:
Isomorphism conditions are established for torsion-free Abelian groups with isomorphic groups or rings of endomorphisms decomposable into complete direct sums of groups of rank 1.
Citation:
A. M. Sebel'din, “Complete direct sums of Abelian torsion-free groups of rank 1 with isomorphic groups or rings of endomorphisms. I”, Mat. Zametki, 14:6 (1973), 867–878; Math. Notes, 14:6 (1973), 1057–1063
\Bibitem{Seb73}
\by A.~M.~Sebel'din
\paper Complete direct sums of Abelian torsion-free groups of rank 1 with isomorphic groups or rings of endomorphisms. I
\jour Mat. Zametki
\yr 1973
\vol 14
\issue 6
\pages 867--878
\mathnet{http://mi.mathnet.ru/mzm7306}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=340451}
\zmath{https://zbmath.org/?q=an:0286.20070}
\transl
\jour Math. Notes
\yr 1973
\vol 14
\issue 6
\pages 1057--1063
\crossref{https://doi.org/10.1007/BF01099592}
Linking options:
https://www.mathnet.ru/eng/mzm7306
https://www.mathnet.ru/eng/mzm/v14/i6/p867
This publication is cited in the following 3 articles:
V. K. Vildanov, “On determinability of a completely decomposable torsion-free Abelian group by its automorphism group”, J. Math. Sci., 230:3 (2018), 372–376
V. K. Vildanov, “Determinability of a completely decomposable block-rigid torsion-free Abelian group by its automorphism group”, J. Math. Sci., 197:5 (2014), 590–594
Vildanov V.K., “Opredelyaemost vpolne razlozhimoi abelevoi gruppy bez krucheniya ranga 2 svoei gruppoi avtomorfizmov”, Vestnik nizhegorodskogo universiteta im. N.I. Lobachevskogo, 2011, no. 3-1, 174–177
Determinability of completely decomposable torsion-free abelian group of rank 2 by its automorphism group