Abstract
We consider some problems of the theory of abelian groups; the term “group” always means an additively written abelian group.
Similar content being viewed by others
References
L. Fuchs, Infinite Abelian Groups. I, Pure Appl. Math., 36, Academic Press, New York–London (1970).
L. Fuchs, Infinite Abelian Groups. II, Pure Appl. Math., 36-II, Academic Press, New York–London (1973).
T. Kemoklidze, “On the full transitivity of a cotorsion hull,” Georgian Math. J., 13, No. 1, 79–84 (2006).
A. Mader, “The fully invariant subgroups of reduced algebraically compact groups,” Publ. Math. Debrecen, 17, 299–306 (1971).
W. May and E. Toubassi, “Endomorphisms of abelian groups and the theorem of Baer and Kaplansky,” J. Algebra, 43, No. 1, 1–13 (1976).
A. I. Moskalenko, “Cotorsion hull of a separable group,” Algebra Logika 28, No. 2, 207–226 (1989).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 74, Proceedings of the International Conference “Modern Algebra and Its Applications” (Batumi, 2010), Part 1, 2011.
Rights and permissions
About this article
Cite this article
Kemoklidze, T. The lattice of fully invariant subgroups of a reduced cotorsion group. J Math Sci 186, 756–758 (2012). https://doi.org/10.1007/s10958-012-1029-3
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10958-012-1029-3