Intermediately fully invariant subgroups of abelian groups
- Авторы: Chekhlov A.1
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Учреждения:
- Tomsk State University
- Выпуск: Том 58, № 5 (2017)
- Страницы: 907-914
- Раздел: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171512
- DOI: https://doi.org/10.1134/S0037446617050184
- ID: 171512
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Аннотация
Describing intermediately fully invariant subgroups of divisible and torsion groups, we show that the intermediately fully invariant subgroups are direct summands in a completely decomposable group whose every homogeneous component is decomposable. For torsion groups, we find out when all their fully invariant subgroups are intermediately fully invariant; and for torsion-free groups, this question comes down to the reduced case. Also, in a torsion group that is the sum of cyclic subgroups, its subgroup is shown to be intermediately inert if and only if it is commensurable with some intermediately fully invariant subgroup.
Об авторах
A. Chekhlov
Tomsk State University
Автор, ответственный за переписку.
Email: cheklov@math.tsu.ru
Россия, Tomsk