A generalization of separable torsion-free abelian groups

L. Fuchs; G. Viljoen

Rendiconti del Seminario Matematico della Università di Padova (1985)

  • Volume: 73, page 15-21
  • ISSN: 0041-8994

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Fuchs, L., and Viljoen, G.. "A generalization of separable torsion-free abelian groups." Rendiconti del Seminario Matematico della Università di Padova 73 (1985): 15-21. <http://eudml.org/doc/107974>.

@article{Fuchs1985,
author = {Fuchs, L., Viljoen, G.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {torsion-free abelian group; separability; separable groups; finite rank torsion-free abelian groups; endomorphism rings; principal ideal domains; direct summand; -separable abelian groups},
language = {eng},
pages = {15-21},
publisher = {Seminario Matematico of the University of Padua},
title = {A generalization of separable torsion-free abelian groups},
url = {http://eudml.org/doc/107974},
volume = {73},
year = {1985},
}

TY - JOUR
AU - Fuchs, L.
AU - Viljoen, G.
TI - A generalization of separable torsion-free abelian groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1985
PB - Seminario Matematico of the University of Padua
VL - 73
SP - 15
EP - 21
LA - eng
KW - torsion-free abelian group; separability; separable groups; finite rank torsion-free abelian groups; endomorphism rings; principal ideal domains; direct summand; -separable abelian groups
UR - http://eudml.org/doc/107974
ER -

References

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  1. [1] D. Arnold - R. Hunter - F. Richman, Global Azumaya theorems in additive categories, J. Pure Appl. Algebra, 16 (1980), pp. 223-242. Zbl0443.18014MR558485
  2. [2] J.D. Botha - P.J. Gräbe, On torsion-free abelian groups whose endomorphism rings are principal ideal domains, Comm. in Alg., Il (1983), pp. 1343-1354. Zbl0515.20034MR697619
  3. [3] B. Charles, Sous-groupes fonctoriels et topologies, Etudes sur les Groupes Abéliens, ed. B. Charles (Dunod, Paris, 1968), pp. 75-92. Zbl0179.32701MR240195
  4. [4] E.F. Cornelius Jr., A sufficient condition for separability, J. Algebra, 67 (1980), pp. 476-478. Zbl0448.20051MR602074
  5. [5] L. Fuchs, Infinite abelian groups, Vol. I, Academic Press, New York and London, 1970. Zbl0209.05503MR255673
  6. [6] L. Fuchs, Infinite abelian groups, Vol. II, Academic Press, New York and London, 1973. Zbl0257.20035MR349869
  7. [7] C.E. Murley, The classification of certain classes of torsion-free abelian groups, Pacific J. Math., 40 (1972), pp. 647-665. Zbl0261.20045MR322077
  8. [8] K.M. Rangaswamy, On strongly balanced subgroups of separable torsionfree abelian groups, Abelian Group Theory, Lecture Notes in Math. 1006 (1983), pp. 268-274. Zbl0574.20042MR722623

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