Geodesic
On direct products of Abelian groups
Sbornik. Mathematics, Tome 45 (1983) no. 2, pp. 273-282 
S. V. Rychkov. On direct products of Abelian groups. Sbornik. Mathematics, Tome 45 (1983) no. 2, pp. 273-282. http://geodesic.mathdoc.fr/item/SM_1983_45_2_a7/
@article{SM_1983_45_2_a7,
     author = {S. V. Rychkov},
     title = {On direct products of {Abelian} groups},
     journal = {Sbornik. Mathematics},
     pages = {273--282},
     year = {1983},
     volume = {45},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1983_45_2_a7/}
}
TY  - JOUR
AU  - S. V. Rychkov
TI  - On direct products of Abelian groups
JO  - Sbornik. Mathematics
PY  - 1983
SP  - 273
EP  - 282
VL  - 45
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/SM_1983_45_2_a7/
LA  - en
ID  - SM_1983_45_2_a7
ER  - 
%0 Journal Article
%A S. V. Rychkov
%T On direct products of Abelian groups
%J Sbornik. Mathematics
%D 1983
%P 273-282
%V 45
%N 2
%U http://geodesic.mathdoc.fr/item/SM_1983_45_2_a7/
%G en
%F SM_1983_45_2_a7

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

In this paper the author introduces a new notion – that of generalized slender Abelian groups. The class of such groups is investigated and the role of this class in the study of direct products of arbitrary Abelian groups is exhibited. Bibliography: 13 titles.

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

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

[3] Kuratovskii K., Mostovskii A., Teoriya mnozhestv, Mir, M., 1970 | MR

[4] Ivanov A. V., “Ob odnoi probleme abelevykh grupp”, Matem. sb., 105 (147) (1978), 525–542 | MR | Zbl

[5] Ivanov A. V., “Pryamye summy i polnye pryamye summy abelevykh grupp”, Tezisy dokl. 15-i Vsesoyuznoi algebraicheskoi konf., Chast 1, 58–59

[6] Rychkov S. V., “O pryamykh proizvedeniyakh abelevykh grupp”, DAN SSSR, 252:2 (1980), 301–302 | MR | Zbl

[7] Chase S. U., “A remark on direct products of modules”, Proc. Amer. Math. Soc., 13 (1962), 214–216 | DOI | MR | Zbl

[8] Chase S. U., “On direct sums and products of modules”, Pacif. J. Math., 12 (1962), 847–854 | MR | Zbl

[9] Nunke R., “Slender groups”, Acta Sci. Math. Szeged., 23 (1962), 63–73 | MR

[10] Nunke R., “On direct products of infinite cyclic groups”, Proc. Amer. Math. Soc., 13 (1962), 66–71 | DOI | MR | Zbl

[11] Irwin J., O'Neill J., “On direct products of Abelian groups”, Canad. J. Math., 22 (1970), 525–544 | MR | Zbl

[12] Göbel R., “On stout and slender groups”, J. Algebra, 35 (1975), 39–54 | DOI | MR

[13] Lady E., “Slender rings and modules”, Pacif. J. Math., 49 (1973), 397–406 | MR | Zbl