Torsion groups in cortorsion classes

Lutz Strüngmann

Rendiconti del Seminario Matematico della Università di Padova (2002)

  • Volume: 107, page 35-55
  • ISSN: 0041-8994

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Strüngmann, Lutz. "Torsion groups in cortorsion classes." Rendiconti del Seminario Matematico della Università di Padova 107 (2002): 35-55. <http://eudml.org/doc/108583>.

@article{Strüngmann2002,
author = {Strüngmann, Lutz},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {torsion-free Abelian groups; torsion groups; rational groups; almost completely decomposable groups; extensions},
language = {eng},
pages = {35-55},
publisher = {Seminario Matematico of the University of Padua},
title = {Torsion groups in cortorsion classes},
url = {http://eudml.org/doc/108583},
volume = {107},
year = {2002},
}

TY - JOUR
AU - Strüngmann, Lutz
TI - Torsion groups in cortorsion classes
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2002
PB - Seminario Matematico of the University of Padua
VL - 107
SP - 35
EP - 55
LA - eng
KW - torsion-free Abelian groups; torsion groups; rational groups; almost completely decomposable groups; extensions
UR - http://eudml.org/doc/108583
ER -

References

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  2. [AD] D. ARNOLD - M. DUGAS, Representation type of finite rank almost completely decomposable groups, Forum Math., 10 (1998), pp. 729-749. Zbl0960.20035MR1652088
  3. [AV] D. ARNOLD - C. VINSONHALER, Typesets and cotypesets of rank-2 torsion free abelian groups, Pacific J. Math., 114 (1984), pp. 1-21. Zbl0496.20040MR755480
  4. [B] R. BAER, The subgroup of the elements of finite order of an abelian group, Ann. of Math., 37 (1936), pp. 766-781. Zbl62.1093.05MR1503308JFM62.1093.05
  5. [EM] P. C. EKLOF - A. MEKLER, Almost Free Modules; Set-Theoretic Methods, North-Holland (1990). Zbl0718.20027MR1055083
  6. [F1] L. FUCHS, Infinite Abelian Groups I, Academic Press (1970). Zbl0209.05503MR255673
  7. [F2] L. FUCHS, Infinite Abelian Groups II, Academic Press (1973). Zbl0257.20035MR349869
  8. [F3] L. FUCHS, A survey of Butler Groups of Infinite Rank, Contemp. Math., 171 (1994), pp. 121-139. Zbl0821.20034MR1293137
  9. [G] P. GRIFFITH, A solution to the splitting mixed group problem of Baer, Trans. Amer. Math. Soc., 139 (1969), pp. 261-269. Zbl0194.05301MR238957
  10. [J] B. JONSSON, On direct decompositions of torsion-free abelian groups, Math. Scand., 5 (1957), pp. 230-235. Zbl0081.26202MR108454
  11. [S] L. SALCE, Cotorsion theories for abelian groups, Symposia Mathematica, 23 (1979), pp. 11-32. Zbl0426.20044MR565595
  12. [Sch] P. SCHULTZ, The typeset and cotypeset of a rank two abelian group, Pacific J. Math., 70 (1978), pp. 503-517. Zbl0358.20059MR519768
  13. [SW] L. STRÜNGMANN - S. L. WALLUTIS, On the torsion groups in cotorsion classes, to appear in Proc. of the int. Perth Conf. (2000). Zbl0985.20042MR1817170
  14. [W] R. B. WARFIELD JR., Homomorphisms and duality for torsion-free groups, Math. Z., 107 (1968), pp. 189-200. Zbl0169.03602MR237642

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