Geodesic
Determination of the direct sums of rational groups by $H$-representations of the endomorphism rings up to equality
Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 8, pp. 95-103
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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. 
@article{FPM_2012_17_8_a10,
     author = {E. N. Kurmanova and A. M. Sebeldin},
     title = {Determination of the direct sums of rational groups by $H$-representations of the endomorphism rings up to equality},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {95--103},
     year = {2012},
     volume = {17},
     number = {8},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2012_17_8_a10/}
}
TY  - JOUR
AU  - E. N. Kurmanova
AU  - A. M. Sebeldin
TI  - Determination of the direct sums of rational groups by $H$-representations of the endomorphism rings up to equality
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2012
SP  - 95
EP  - 103
VL  - 17
IS  - 8
UR  - http://geodesic.mathdoc.fr/item/FPM_2012_17_8_a10/
LA  - ru
ID  - FPM_2012_17_8_a10
ER  - 
%0 Journal Article
%A E. N. Kurmanova
%A A. M. Sebeldin
%T Determination of the direct sums of rational groups by $H$-representations of the endomorphism rings up to equality
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2012
%P 95-103
%V 17
%N 8
%U http://geodesic.mathdoc.fr/item/FPM_2012_17_8_a10/
%G ru
%F FPM_2012_17_8_a10
E. N. Kurmanova; A. M. Sebeldin. Determination of the direct sums of rational groups by $H$-representations of the endomorphism rings up to equality. Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 8, pp. 95-103. http://geodesic.mathdoc.fr/item/FPM_2012_17_8_a10/

[1] Krylov P. A., Mikhalëv A. V., Tuganbaev A. A., Svyazi abelevykh grupp i ikh kolets endomorfizmov, Tomsk, 2002

[2] Kurmanova E. N., Sebeldin A. M., “Neobkhodimye i dostatochnye usloviya dlya $\mathrm{Hom}$-delimosti ratsionalnykh grupp”, Izv. vyssh. uchebn. zaved. Matematika, 2006, no. 8(531), 38–41 | MR

[3] Sebeldin A. M., “Usloviya izomorfizma vpolne razlozhimykh abelevykh grupp bez kpucheniya s izomorfnymi koltsami endomorfizmov”, Mat. zametki, 11:4 (1972), 403–408 | MR | Zbl