×

On character groups of discrete Abelian groups. (English. Russian summary) Zbl 0087.25603


Keywords:

group theory
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] S. Balcerzyk, On algebraically compact groups of I. Kaplansky,Fundamenta Math.,44 (1957), pp. 91–93. · Zbl 0079.03403
[2] H. Cartan andS. Eilenberg,Homological algebra (Princeton, 1956). · Zbl 0075.24305
[3] L. Fuchs, On the structure of abelianp-groups,Acta Math. Acad. Sci. Hung.,4 (1953), pp. 267–288. · Zbl 0052.02203 · doi:10.1007/BF02127586
[4] L. Fuchs,Abelian groups (Budapest, 1958). · Zbl 0091.02704
[5] A. Hulanicki, Algebraic characterization of abelian divisible groups which admit compact topologies,Fundamenta Math.,44 (1957), pp. 192–197. · Zbl 0082.02604
[6] A. Hulanicki, Algebraic structure of compact abelian groups,Bull. Acad. Polon. Sci.,6 (1958), pp. 71–73. · Zbl 0081.26001
[7] S. Kakutani, On cardinal numbers related with a compact abelian group,Proc. Imp. Acad. Tokyo,19 (1943), pp. 366–372. · Zbl 0063.03104 · doi:10.3792/pia/1195573431
[8] I. Kaplansky,Infinite abelian groups (Ann Arbor, 1954). · Zbl 0057.01901
[9] Л. Я. Куликов, Обобщенние примариые группы. I–II, Труды Моск. Мат. Общ.,1 (1952), pp. 247–326;2 (1953), pp. 85–167. · Zbl 0047.09803
[10] H. Leptin, Eine Kennzeichnung der reinen Untergruppen abelscher Gruppen,Acta. Math. Acad. Sci. Hung.,7 (1956), pp. 169–171. · Zbl 0074.25804 · doi:10.1007/BF02028202
[11] J. Łoś, Abelian groups that are direct summands of every abelian group which contains them as pure subgroups,Fundamenta Math.,44 (1957), pp. 84–90. · Zbl 0079.03402
[12] Л. С. Понтрягин, Непрерывные группы (Москва, 1954). · Zbl 0859.65013
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.