$*$-pure subgroups of completely decomposable abelian groups
HTML articles powered by AMS MathViewer
- by Loyiso G. Nongxa PDF
- Proc. Amer. Math. Soc. 100 (1987), 613-618 Request permission
Abstract:
In this note we prove that (i) homogeneous $*$-pure subgroups of completely decomposable groups are completely decomposable, (ii) $*$-pure subgroups of finite rank completely decomposable groups are almost completely decomposable. We also characterize those reduced completely decomposable groups $G$, with $T(G)$ satisfying the maximum condition, any $*$-pure subgroup of which is also completely decomposable.References
- Ladislav Bican, Completely decomposable abelian groups any pure subgroup of which is completely decomposable, Czechoslovak Math. J. 24(99) (1974), 176–191. MR 348009, DOI 10.21136/CMJ.1974.101232 H. Bowman and K. M. Rangaswamy, On special balanced subgroups of torsion-free abelian groups, preprint.
- László Fuchs, Infinite abelian groups. Vol. II, Pure and Applied Mathematics. Vol. 36-II, Academic Press, New York-London, 1973. MR 0349869
- Loyiso G. Nongxa, Homogeneous subgroups of completely decomposable groups, Arch. Math. (Basel) 42 (1984), no. 3, 208–213. MR 751497, DOI 10.1007/BF01191177
Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 100 (1987), 613-618
- MSC: Primary 20K27; Secondary 20K15, 20K20
- DOI: https://doi.org/10.1090/S0002-9939-1987-0894425-1
- MathSciNet review: 894425