A splitting criterion for Abelian groups

Ladislav Bican

Commentationes Mathematicae Universitatis Carolinae (1978)

  • Volume: 019, Issue: 4, page 763-774
  • ISSN: 0010-2628

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Bican, Ladislav. "A splitting criterion for Abelian groups." Commentationes Mathematicae Universitatis Carolinae 019.4 (1978): 763-774. <http://eudml.org/doc/16937>.

@article{Bican1978,
author = {Bican, Ladislav},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Splitting of An Abelian Group with Torsion Subgroup; Basis; Rank Finite Pure Subgroup},
language = {eng},
number = {4},
pages = {763-774},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A splitting criterion for Abelian groups},
url = {http://eudml.org/doc/16937},
volume = {019},
year = {1978},
}

TY - JOUR
AU - Bican, Ladislav
TI - A splitting criterion for Abelian groups
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1978
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 019
IS - 4
SP - 763
EP - 774
LA - eng
KW - Splitting of An Abelian Group with Torsion Subgroup; Basis; Rank Finite Pure Subgroup
UR - http://eudml.org/doc/16937
ER -

References

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  1. R. BAER, The subgroup of the elements of finite order of an abelian group, Annals of Math. 37 (1936), 766-781. (1936) Zbl0015.20202MR1503308
  2. L. BICAN, Mixed abelian groups of torsionfree rank one, Czech. Math. J. 20 (1970), 232-242. (1970) MR0258947
  3. L. BICAN, A note on mixed abelian groups, Czech. Math. J. 21 (1971), 413-417. (1971) Zbl0224.20048MR0288177
  4. L. BICAN, Splitting in abelian groups, (to appear in Czech. Math. J.). Zbl0421.20022MR0480778
  5. L. BICAN, Factor-splitting abelian groups of arbitrary rank, Comment. Math. Univ. Carolinae 19 (1978), 653-672. (1978) Zbl0415.20041MR0518178
  6. L. FUCHS, Abelian groups, Budapest, 1958. (1958) Zbl0091.02704MR0106942
  7. L. FUCHS, Infinite abelian groups I, Academic Press, 1970. (1970) MR0255673
  8. L. PROCHÁZKA, Zametka o rasčepljaemosti smešannych abelevych grupp, Czech. Math. J. 10 (1960), 479-492. (1960) MR0175976
  9. A. E. STRATTON, On the splitting of rank one abelian groups, J. of Algebra 19 (1971), 254-260. (1971) Zbl0233.20020MR0279185
  10. A. E. STRATTON, A splitting theorem for mixed abelian groups, Symposia Mathematica, Vol. XIII, Academic Press London, 1974, 104-125. (1974) Zbl0315.20043MR0369569
  11. V. S. ŽURAVSKIJ, O rasčeplenii nekotorych smešannyvh abelevych grupp, Mat. Sb. 48 (1959), 499-508. (1959) 
  12. V. S. ŽURAVSKIJ, Obobščenie nekotorych kriteriev rasřeplenija smešannych abelevych grupp, Mat. Sb. 51 (1960), 377-382. (1960) 

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