Arbitrarily large indecomposable divisible torsion modules over certain valuation domains

L. Fuchs

Rendiconti del Seminario Matematico della Università di Padova (1986)

  • Volume: 76, page 247-254
  • ISSN: 0041-8994

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Fuchs, L.. "Arbitrarily large indecomposable divisible torsion modules over certain valuation domains." Rendiconti del Seminario Matematico della Università di Padova 76 (1986): 247-254. <http://eudml.org/doc/108044>.

@article{Fuchs1986,
author = {Fuchs, L.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {large indecomposable torsion modules; valuation domains},
language = {eng},
pages = {247-254},
publisher = {Seminario Matematico of the University of Padua},
title = {Arbitrarily large indecomposable divisible torsion modules over certain valuation domains},
url = {http://eudml.org/doc/108044},
volume = {76},
year = {1986},
}

TY - JOUR
AU - Fuchs, L.
TI - Arbitrarily large indecomposable divisible torsion modules over certain valuation domains
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1986
PB - Seminario Matematico of the University of Padua
VL - 76
SP - 247
EP - 254
LA - eng
KW - large indecomposable torsion modules; valuation domains
UR - http://eudml.org/doc/108044
ER -

References

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  1. [C] A.L.S. Corner, Fully rigid systems of modules. Zbl0712.16007
  2. [FG] B. Franzen - R. Göbel, The Brenner-Butler-Corner theorem and its application to modules (to appear in Abelian Group Theory, Proceedings Oberwolfach, 1985). Zbl0667.20045MR1011314
  3. [F1] L. Fuchs, On divisible modules over domains, Abelian Groups and Modules, Proc. of the Udine Conference, Springer-Verlag (Wien - New York, 1985), pp. 341-356. Zbl0574.13001MR789830
  4. [F2] L. Fuchs, On polyserial modules over valuation domains (to appear). Zbl0628.13013MR902514
  5. [FS] L. Fuchs - L. Salce, Modules over valuation domains, Lecture Notes in Pure and Applied Math., vol. 97, Marcel Dekker, 1985. Zbl0578.13004MR786121
  6. [M] E. Matlis, Cotorsion modules, Memoirs ofAmer. Math. Soc., 49 (1964). Zbl0135.07801MR178025
  7. [S] S. Shelah, Infinite abelian groups, Whitehead problem and some constructions, Israel J. Math., 18 (1974), pp. 243-256. Zbl0318.02053MR357114
  8. [W] C.P. Walker, Relative homological algebra and abelian groups, Illinois J. Math., 40 (1966), pp. 186-209. Zbl0136.25601MR190210

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