On projective invariant subgroups of Abelian groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 6, pp. 211-218
Cet article a éte moissonné depuis la source Math-Net.Ru
Properties of projective invariant subgroups are studied. The structure of these subgroups in nonreduced groups is described. The conditions under which projective invariant subgroups are fully invariant are considered.
@article{FPM_2008_14_6_a11,
author = {A. R. Chekhlov},
title = {On projective invariant subgroups of {Abelian} groups},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {211--218},
year = {2008},
volume = {14},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2008_14_6_a11/}
}
A. R. Chekhlov. On projective invariant subgroups of Abelian groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 6, pp. 211-218. http://geodesic.mathdoc.fr/item/FPM_2008_14_6_a11/
[1] Grinshpon S. Ya., “O stroenii vpolne kharakteristicheskikh podgrupp abelevykh grupp bez krucheniya”, Abelevy gruppy i moduli, Tomsk, 1981, 56–92 | MR | Zbl
[2] Grinshpon S. Ya., “Vpolne kharakteristicheskie podgruppy abelevykh grupp i vpolne tranzitivnost”, Fundament. i prikl. mat., 8:2 (2002), 407–473 | MR | Zbl
[3] Puninskii G. E., Tuganbaev A. A., Koltsa i moduli, Soyuz, M., 1998 | MR
[4] Fuks L., Beskonechnye abelevy gruppy, T. 1, Mir, M., 1974; Т. 2, 1977
[5] Hausen J., “Endomorphism rings generated by idempotents”, Tamkand J. Math., 12:2 (1981), 215–218 | MR | Zbl
[6] Megibben C., “Projective-invariant subgroups of Abelian groups”, Tamkand J. Math., 8:2 (1977), 177–182 | MR | Zbl