Completely decomposable pure subgroups of completely decomposable abelian groups

L. Fuchs; G. Viljoen

Rendiconti del Seminario Matematico della Università di Padova (1994)

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

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Fuchs, 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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  1. [B1] L. Bican, Completely decomposable abelian groups any pure subgroup of which is completely decomposable, Czech. Math. J., 24 (1974), pp. 176-191. Zbl0314.20037MR348009
  2. [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
  3. [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
  4. [BF2] L. Bican - L. Fuchs, Subgroups of Butler groups, Comm. Algebra, 22 (1994), pp. 1037-1047. Zbl0802.20045MR1261020
  5. [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
  6. [F] L. Fuchs, Butler groups of infinite rank, J. Pure Appl. Algebra, to appear. Zbl0842.20045MR1316995
  7. [HM] P. Hill - C. Megibben, Torsion-free groups, Trans. Amer. Math. Soc., 295 (1986), pp. 735-751. Zbl0597.20047MR833706
  8. [K] A.A. Kravchenko, Completely decomposable groups, Mat. Zametki, 31 (1982), pp. 171-185. Zbl0486.20031MR649002
  9. [W] J.S.P. Wang, On completely decomposable groups, Proc. Amer. Math. Soc., 15 (1964), pp. 184-186. Zbl0124.01905MR159878

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