Notes on mixed groups II

Phillip Schultz

Rendiconti del Seminario Matematico della Università di Padova (1986)

  • Volume: 75, page 67-76
  • ISSN: 0041-8994

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Schultz, Phillip. "Notes on mixed groups II." Rendiconti del Seminario Matematico della Università di Padova 75 (1986): 67-76. <http://eudml.org/doc/108031>.

@article{Schultz1986,
author = {Schultz, Phillip},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {mixed groups; maximal rank tfree subgroup; decompositions; pullback; mixed Murley group; full subgroup; extension; cotorsion hull},
language = {eng},
pages = {67-76},
publisher = {Seminario Matematico of the University of Padua},
title = {Notes on mixed groups II},
url = {http://eudml.org/doc/108031},
volume = {75},
year = {1986},
}

TY - JOUR
AU - Schultz, Phillip
TI - Notes on mixed groups II
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1986
PB - Seminario Matematico of the University of Padua
VL - 75
SP - 67
EP - 76
LA - eng
KW - mixed groups; maximal rank tfree subgroup; decompositions; pullback; mixed Murley group; full subgroup; extension; cotorsion hull
UR - http://eudml.org/doc/108031
ER -

References

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  1. [1] P. Eklof, Applications of logic to the problem of splitting abelian groups, in Logic Colloquium 76, R. Gandy and M. Hyland, Eds., North-Holland, Amsterdam, 1977, pp. 287. Zbl0436.03029MR540012
  2. [2] L. Fuchs, On subdirect unions I, Acta Math. Acad. Sci. Hung., 3 (1952), p. 103. Zbl0047.03003MR52395
  3. [3] L. Fuchs, Infinite Abelian Groups, Vols. I and II, Academic Press, New York, 1970 and 1973. Zbl0209.05503MR255673
  4. [4] L. Fuchs - F. Loonstra, On the cancellation of modules in direct sums over Dedekind domains, Koninkl. Nederl. Akad. Van Wetenschappen, 74 (1971), p. 163. Zbl0215.36802MR289476
  5. [5] D.K. Harrison, Infinite abelian groups and homological methods, Annals of Math., 69 (1959), p. 366. Zbl0100.02901MR104728
  6. [6] P. Griffith, On direct sums of p-mixed groups, Archiv. der Math., 19 (1968), p. 359. Zbl0169.34403MR232841
  7. [7] C. Murley, The classification of certain classes of torsion-free Abelian groups, Pacific J. of Math., 40 (1972), p. 647. Zbl0261.20045MR322077
  8. [8] J. Oppelt, A decomposition of mixed abelian groups, Trans. Amer. Math. Soc., 127 (1967), p. 341. Zbl0167.29602MR213435
  9. [9] R.S. Pierce, Introduction to the theory of abstract algebras, Holt, Rinehart and Winston, New York, 1968. MR227070
  10. [10] F. Richman, Mixed groups, Abelian Group Theory, Lecture Notes in Maths.1006, Springer-Verlag, Berlin, 1983, p. 445. Zbl0518.20050MR722639
  11. [11] J. Rotman, A completion functor on modules and algebras, J. of Algebra, 9 (1968), p. 369. Zbl0159.05101MR229684
  12. [12] A.E. Stratton, A note on Ext-completions, J. of Algebra, 17 (1971), p. 110. Zbl0238.20072MR266992
  13. [13] A. Mader, Extensions of abelian groups, in Studies on abelian groups, B. Charles, Ed., Dunod, Paris, 1968, p. 259. Zbl0181.03701MR276332
  14. [14] P. Schultz, Notes on Mixed Groups I, Proceedings of the Udine Conference on Abelian groups and modules, C.I.S.M., Udine, 1984. Zbl0566.20039MR789824

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