On almost-free modules over complete discrete valuation rings

R. Göbel; B. Goldsmith

Rendiconti del Seminario Matematico della Università di Padova (1991)

  • Volume: 86, page 75-87
  • ISSN: 0041-8994

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Göbel, R., and Goldsmith, B.. "On almost-free modules over complete discrete valuation rings." Rendiconti del Seminario Matematico della Università di Padova 86 (1991): 75-87. <http://eudml.org/doc/108243>.

@article{Göbel1991,
author = {Göbel, R., Goldsmith, B.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {endomorphism; torsion-free modules; torsion-free reduced modules; complete discrete valuation rings},
language = {eng},
pages = {75-87},
publisher = {Seminario Matematico of the University of Padua},
title = {On almost-free modules over complete discrete valuation rings},
url = {http://eudml.org/doc/108243},
volume = {86},
year = {1991},
}

TY - JOUR
AU - Göbel, R.
AU - Goldsmith, B.
TI - On almost-free modules over complete discrete valuation rings
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1991
PB - Seminario Matematico of the University of Padua
VL - 86
SP - 75
EP - 87
LA - eng
KW - endomorphism; torsion-free modules; torsion-free reduced modules; complete discrete valuation rings
UR - http://eudml.org/doc/108243
ER -

References

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  1. [1] A.L.S. Corner - R. Göbel, Prescribing endomorphism algebras, a unified treatment, Proc. London Math. Soc. (3), 50 (1985), pp. 447-479. Zbl0562.20030MR779399
  2. [2] M. Dugas - R. Göbel, Every cotorsion-free ring is an endomorphism Ring, Proc. London Math. Soc. (3), 45 (1982), pp. 319-336. Zbl0506.16022MR670040
  3. [3] M. Dugas - R. Göbel, Almost ∑-cyclic Abelian p-Groups in L, in: Abelian Groups and Modules (Udini 1984), CISM Courses and Lectures No. 287, Springer-Verlag, Wien-New York (1984). Zbl0574.20041
  4. [4] M. Dugas - R. Göbel - B. Goldsmith, Representations of algebras over a complete discrete valuation ring, Quart. J. Math. Oxford (2), 35 (1984), pp. 131-146. Zbl0536.16031MR745415
  5. [5] P. Eklof, Set Theoretic Methods in Homological Algebra and Abelian Groups, Les Presses de l'Université de Montreal, Montreal (1980). Zbl0488.03029MR565449
  6. [6] P. Eklof - A. Mekler, On constructing indecomposable groups in L, J. Algebra, 49 (1977), pp. 96-103. Zbl0372.20042MR457197
  7. [7] L. Fuchs, Infinite Abelian Groups, Academic Press, New York, Vol. I (1970), Vol. II (1973). Zbl0209.05503
  8. [8] R. Göbel - B. Goldsmith, Essentially indecomposable modules which are almost free, Quart. J. Math. Oxford (2), 39 (1988), pp. 213-222. Zbl0675.13010MR947502
  9. [9] R. Göbel - B. Goldsmith, Mixed modules in L, Rocky Mountain J. Math., 19 (1989), pp. 1043-1058. Zbl0697.20046MR1039542
  10. [10] T. Jech, Set Theory, Academic Press, New York (1978). Zbl0419.03028MR506523

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