# Completely decomposable pure subgroups of completely decomposable abelian groups

Rendiconti del Seminario Matematico della Università di Padova (1994)

- Volume: 92, page 63-69
- ISSN: 0041-8994

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topFuchs, L., and Viljoen, G.. "Completely decomposable pure subgroups of completely decomposable abelian groups." Rendiconti del Seminario Matematico della Università di Padova 92 (1994): 63-69. <http://eudml.org/doc/108344>.

@article{Fuchs1994,

author = {Fuchs, L., Viljoen, G.},

journal = {Rendiconti del Seminario Matematico della Università di Padova},

keywords = {prebalanced chains; pure subgroups; completely decomposable groups; countable factors; completely decomposable pure subgroups; ascending chains of pure subgroups},

language = {eng},

pages = {63-69},

publisher = {Seminario Matematico of the University of Padua},

title = {Completely decomposable pure subgroups of completely decomposable abelian groups},

url = {http://eudml.org/doc/108344},

volume = {92},

year = {1994},

}

TY - JOUR

AU - Fuchs, L.

AU - Viljoen, G.

TI - Completely decomposable pure subgroups of completely decomposable abelian groups

JO - Rendiconti del Seminario Matematico della Università di Padova

PY - 1994

PB - Seminario Matematico of the University of Padua

VL - 92

SP - 63

EP - 69

LA - eng

KW - prebalanced chains; pure subgroups; completely decomposable groups; countable factors; completely decomposable pure subgroups; ascending chains of pure subgroups

UR - http://eudml.org/doc/108344

ER -

## References

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- [B2] L. Bican, Completely decomposable abelian groups any regular subgroup of which is completely decomposable, Czech. Math. J., 25 (1975), pp. 71-76. Zbl0306.20058MR399306
- [BF1] L. Bican - L. Fuchs, On abelian groups by which balanced extensions of a rational group split, J. Pure Appl. Alg., 78 (1992), pp. 221-238. Zbl0779.20035MR1163276
- [BF2] L. Bican - L. Fuchs, Subgroups of Butler groups, Comm. Algebra, 22 (1994), pp. 1037-1047. Zbl0802.20045MR1261020
- [DR] M. Dugas - K.M. Rangaswamy, Separable pure subgroups of completely decomposable torsion-free abelian groups, Arch. Math., 58 (1992), pp. 332-337. Zbl0789.20061MR1152619
- [F] L. Fuchs, Butler groups of infinite rank, J. Pure Appl. Algebra, to appear. Zbl0842.20045MR1316995
- [HM] P. Hill - C. Megibben, Torsion-free groups, Trans. Amer. Math. Soc., 295 (1986), pp. 735-751. Zbl0597.20047MR833706
- [K] A.A. Kravchenko, Completely decomposable groups, Mat. Zametki, 31 (1982), pp. 171-185. Zbl0486.20031MR649002
- [W] J.S.P. Wang, On completely decomposable groups, Proc. Amer. Math. Soc., 15 (1964), pp. 184-186. Zbl0124.01905MR159878

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