Geodesic
Abelian dqt-groups and rings on them
Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 3, pp. 53-67.

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

The absolute radical of an Abelian group $G$ is the intersection of radicals of all associative rings with additive group $G$. The problem of describing absolute radicals was formulated by L. Fuchs. He described the absolute Jacobson radical of a torsion Abelian group. In this work, the absolute Jacobson radical and the absolute nil-radical are investigated in some mixed Abelian group classes. 
@article{FPM_2013_18_3_a4,
     author = {E. I. Kompantseva},
     title = {Abelian dqt-groups and rings on them},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {53--67},
     publisher = {mathdoc},
     volume = {18},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2013_18_3_a4/}
}
TY  - JOUR
AU  - E. I. Kompantseva
TI  - Abelian dqt-groups and rings on them
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2013
SP  - 53
EP  - 67
VL  - 18
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_2013_18_3_a4/
LA  - ru
ID  - FPM_2013_18_3_a4
ER  - 
%0 Journal Article
%A E. I. Kompantseva
%T Abelian dqt-groups and rings on them
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2013
%P 53-67
%V 18
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_2013_18_3_a4/
%G ru
%F FPM_2013_18_3_a4
E. I. Kompantseva. Abelian dqt-groups and rings on them. Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 3, pp. 53-67. http://geodesic.mathdoc.fr/item/FPM_2013_18_3_a4/

[1] Dzhekobson N., Stroenie kolets, IL, M., 1961

[2] Ivanov A. V., “Abelevy gruppy s samoin'ektivnymi koltsami endomorfizmov i koltsami endomorfizmov s annulyatornym usloviem”, Abelevy gruppy i moduli, 1982, 93–109, TGU, Tomsk | MR

[3] Kompantseva E. I., “Koltsa bez krucheniya”, Fundament. i prikl. mat., 15:8 (2009), 95–143 | MR

[4] Kompantseva E. I., “Absolyutnye nil-idealy abelevoi gruppy”, Fundament. i prikl. mat., 17:8 (2011/2012), 63–76 | MR

[5] Krylov P. A., “Smeshannye abelevy gruppy kak moduli nad svoimi koltsami endomorfizmov”, Fundament. i prikl. mat., 6:3 (2000), 793–812 | MR | Zbl

[6] Kertis K., Rainer I., Teoriya predstavlenii konechnykh grupp i assotsiativnykh algebr, Nauka, M., 1969 | MR

[7] Fuks L., Beskonechnye abelevy gruppy, v. 1, Mir, M., 1974; т. 2, 1977

[8] Fuchs L., Rangaswamy K. M., “On generalized regular rings”, Math. Z., 107 (1968), 71–81 | DOI | MR | Zbl

[9] Rangaswamy K. M., “Abelian groups with endomorphic images of special types”, J. Algebra, 6 (1967), 271–280 | DOI | MR | Zbl

[10] Toubassi E. H., Lawver D. A., “Height-slope and splitting length of Abelian groups”, Publ. Mat., 20 (1973), 63–71 | MR | Zbl