Geodesic
Rings of quasi-endomorphisms of strongly indecomposable torsion-free Abelian groups
Matematičeskie zametki, Tome 63 (1998) no. 5, pp. 763-773.

Voir la notice de l'article provenant de la source Math-Net.Ru

In the paper the classification of rings of quasi-endomorphisms of strongly indecomposable Abelian torsion-free groups of rank three is obtained. 
@article{MZM_1998_63_5_a14,
     author = {A. V. Cherednikova},
     title = {Rings of quasi-endomorphisms of strongly indecomposable torsion-free {Abelian} groups},
     journal = {Matemati\v{c}eskie zametki},
     pages = {763--773},
     publisher = {mathdoc},
     volume = {63},
     number = {5},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_63_5_a14/}
}
TY  - JOUR
AU  - A. V. Cherednikova
TI  - Rings of quasi-endomorphisms of strongly indecomposable torsion-free Abelian groups
JO  - Matematičeskie zametki
PY  - 1998
SP  - 763
EP  - 773
VL  - 63
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1998_63_5_a14/
LA  - ru
ID  - MZM_1998_63_5_a14
ER  - 
%0 Journal Article
%A A. V. Cherednikova
%T Rings of quasi-endomorphisms of strongly indecomposable torsion-free Abelian groups
%J Matematičeskie zametki
%D 1998
%P 763-773
%V 63
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1998_63_5_a14/
%G ru
%F MZM_1998_63_5_a14
A. V. Cherednikova. Rings of quasi-endomorphisms of strongly indecomposable torsion-free Abelian groups. Matematičeskie zametki, Tome 63 (1998) no. 5, pp. 763-773. http://geodesic.mathdoc.fr/item/MZM_1998_63_5_a14/

[1] Reid J. D., “On the rings of quasi-endomorphism of torsion free Abelian groups”, Topics in Abelian Groups, 1963, 51–68

[2] Warfield R., “Homomorphisms and duality for torsion free groups”, Math. Z., 107 (1968), 189–200 | DOI | MR | Zbl

[3] Fuks L., Beskonechnye abelevy gruppy, T. 1, Mir, M., 1974; Т. 2, Мир, М., 1977

[4] Pirs R., Assotsiativnye algebry, Mir, M., 1986

[5] Krylov P. A., “Abelevy gruppy bez krucheniya i ikh koltsa endomorfizmov”, Izv. vuzov. Matem., 1979, no. 11, 26–33 | MR | Zbl

[6] Van der Varden B. L., Algebra, Nauka, M., 1979 | Zbl

[7] Beaumont R. A., Pierce R. S., “Torsion free rings”, Illinois J. Math., 5 (1961), 61–98 | MR | Zbl

[8] Pierce R. S., “Subrings of simple algebras”, Michigan Math. J., 7 (1960), 241–243 | DOI | MR | Zbl

[9] Kash F., Moduli i koltsa, Mir, M., 1981

[10] Krylov P. A., “Radikaly kolets endomorfizmov abelevykh grupp bez krucheniya”, Matem. sb., 95:10 (1974), 214–228 | MR | Zbl

[11] Fomin A. A., “Abelevy gruppy s odnim $\tau$-adicheskim sootnosheniem”, Algebra i logika, 28:1 (1989), 83–104 | MR | Zbl

[12] Fomin A. A., Abelevy gruppy bez krucheniya konechnogo ranga s tochnostyu do kvaziizomorfizma, Diss. ... d. f.-m. n., MPGU, M., 1992

[13] Arnold D. M., Finite Rank Torsion Free Abelian Groups and Rings, Lecture Notes in Math., 931, Springer, Berlin, 1982 | Zbl