Geodesic
On a property of the endomorphism ring of an abelian group
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 3 (2010), pp. 38-46 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We consider a class of reduced mixed abelian groups in which the study of mixed groups with commutative endomorphism rings can be reduced to the study of torsion free groups with commutative endomorphism rings.
Keywords: abelian group, commutative endomorphism ring. 
@article{VTGU_2010_3_a4,
     author = {V. M. Misyakov},
     title = {On a property of the endomorphism ring of an abelian group},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {38--46},
     year = {2010},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2010_3_a4/}
}
TY  - JOUR
AU  - V. M. Misyakov
TI  - On a property of the endomorphism ring of an abelian group
JO  - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
PY  - 2010
SP  - 38
EP  - 46
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/VTGU_2010_3_a4/
LA  - ru
ID  - VTGU_2010_3_a4
ER  - 
%0 Journal Article
%A V. M. Misyakov
%T On a property of the endomorphism ring of an abelian group
%J Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
%D 2010
%P 38-46
%N 3
%U http://geodesic.mathdoc.fr/item/VTGU_2010_3_a4/
%G ru
%F VTGU_2010_3_a4
V. M. Misyakov. On a property of the endomorphism ring of an abelian group. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 3 (2010), pp. 38-46. http://geodesic.mathdoc.fr/item/VTGU_2010_3_a4/

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

[2] Szele T., Szendrei J., “On Abelian groups with commutative endomorphism ring”, Acta Math. Acad. Sci. Hungar., 2:3–4 (1951), 309–324 | DOI | MR | Zbl

[3] Schultz P., “On a paper of Szele and Szendrei on groups with commutative endomorphism rings”, Acta Math. Acad. Sci. Hungar., 24:1–2 (1973), 59–63 | DOI | MR | Zbl

[4] Fuks L., Beskonechnye abelevy gruppy, v. 1, Mir, M., 1974

[5] Fuks L., Beskonechnye abelevy gruppy, v. 2, Mir, M., 1977

[6] Chekhlov A. R., “O skobke Li endomorfizmov abelevykh grupp”, Vestnik Tomskogo gosuniversiteta. Matematika i mekhanika, 2009, no. 2(6), 78–84

[7] Grinshpon S. Ya., “O ravenstve nulyu gruppy gomomorfizmov abelevykh grupp”, Izv. vuzov. Matematika, 1998, no. 9, 42–46 | MR | Zbl