On reduced products of abelian groups

Manfred Dugas

Rendiconti del Seminario Matematico della Università di Padova (1985)

  • Volume: 73, page 41-47
  • ISSN: 0041-8994

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Dugas, Manfred. "On reduced products of abelian groups." Rendiconti del Seminario Matematico della Università di Padova 73 (1985): 41-47. <http://eudml.org/doc/107987>.

@article{Dugas1985,
author = {Dugas, Manfred},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {torsion-free class; extensions; cartesian products; cotorsion-free abelian groups; torsion theory},
language = {eng},
pages = {41-47},
publisher = {Seminario Matematico of the University of Padua},
title = {On reduced products of abelian groups},
url = {http://eudml.org/doc/107987},
volume = {73},
year = {1985},
}

TY - JOUR
AU - Dugas, Manfred
TI - On reduced products of abelian groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1985
PB - Seminario Matematico of the University of Padua
VL - 73
SP - 41
EP - 47
LA - eng
KW - torsion-free class; extensions; cartesian products; cotorsion-free abelian groups; torsion theory
UR - http://eudml.org/doc/107987
ER -

References

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  1. [DH] M. Dugas - G. Herden, Arbitrary torsion classes of Abelian groups, Comm. Algebra, 11 (1983), pp. 1455-1472. Zbl0543.20038MR700574
  2. [DG] M. Dugas - R. Göbel, On radicals and products, to appear in Pacific J. Math. Zbl0578.20050MR783018
  3. [PI/II] L. Fuchs, Infinite abelian groups, Academic Press, New York and London, 1970 (Vol. I) and 1973 (Vol. II). Zbl0209.05503
  4. [G] B.J. Gardner, When are radical classes of abelian groups closed under direct products, Algebraic Structures and Applications, Proc. 1st West Austr. Conf. Algebra, Univ. West Austr.1980, Lecture Notes Pure Appl. Math., 74 (1982), pp. 87-99. Zbl0477.20031MR647168
  5. [GS] R. Göbel - S. Shelah, On semi-rigid classes of torsionfree abelian groups, to appear in J. Algebra. Zbl0554.20018MR780487
  6. [J] T. Jech, Set Theory, Academic Press, New York and London, 1978. Zbl0419.03028MR506523
  7. [L] J. Łos, Linear equations and pure subgroups, Bull. Acad. Polon. Sci., 7 (1959), pp. 13-18. Zbl0083.25101
  8. [S] S. Shelah, Infinite abelian groups, Whitehead problem and some constructions, Israel J. Math., 18 (1974), pp. 243-256. Zbl0318.02053MR357114
  9. [W] B. Wald, On χ-products modulo μ-products, Springer LNM, 1006, (1982/83), pp. 362-370. Zbl0538.20026

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