Unitary independence in the study of finitely generated and of finite rank torsion-free modules over a valuation domain

Paolo Zanardo

Rendiconti del Seminario Matematico della Università di Padova (1989)

  • Volume: 82, page 185-202
  • ISSN: 0041-8994

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Zanardo, Paolo. "Unitary independence in the study of finitely generated and of finite rank torsion-free modules over a valuation domain." Rendiconti del Seminario Matematico della Università di Padova 82 (1989): 185-202. <http://eudml.org/doc/108158>.

@article{Zanardo1989,
author = {Zanardo, Paolo},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {unitary independence; valuation domains},
language = {eng},
pages = {185-202},
publisher = {Seminario Matematico of the University of Padua},
title = {Unitary independence in the study of finitely generated and of finite rank torsion-free modules over a valuation domain},
url = {http://eudml.org/doc/108158},
volume = {82},
year = {1989},
}

TY - JOUR
AU - Zanardo, Paolo
TI - Unitary independence in the study of finitely generated and of finite rank torsion-free modules over a valuation domain
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1989
PB - Seminario Matematico of the University of Padua
VL - 82
SP - 185
EP - 202
LA - eng
KW - unitary independence; valuation domains
UR - http://eudml.org/doc/108158
ER -

References

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  1. [1] D.M. Arnold, A duality for torsion-free modules of finite rank over a discrete valuation ring, Proc. London Math. Soc., (3) 24 (1972), pp. 204-216. Zbl0237.13016MR292813
  2. [2] A. Facchini - P. ZANARDO, Discrete valuation domains and ranks of their maximal extensions, Rend. Sem. Mat. Univ. Padova, 75 (1986), pp. 143-156. Zbl0608.13010MR847663
  3. [3] L. Fuchs - L. Salce, Modules over Valuation Domains, Lecture Notes in Pure Appl. Math., no. 97, Marcel Dekker, New York, 1985. Zbl0578.13004MR786121
  4. [4] I. Kaplansky, Infinite Abelian Groups, University of Michigan Press, Ann Arbor, 1954. Zbl0194.04402MR65561
  5. [5] L. Salce - P. ZANARDO, Some cardinal invariants for valuation domains, Rend. Sem. Mat. Univ. Padova, 74 (1985), pp. 205-217. Zbl0596.13015MR818727
  6. [6] L. Salce - P. ZANARDO, On two-generated modules over valuation domains, Archiv der Math., 46 (1986), pp. 408-418. Zbl0586.13003MR847084
  7. [7] L. Salce - P. Zanardo, A duality for finitely generated modules over valuation domains, on « Abelian Group Theory, Proceedings Oberwolfach Conf.1985», Gordon and Breach, New York, 1987, pp. 433-451. Zbl0658.13014MR1011330
  8. [8] L. Salce - P. Zanardo, Rank-two torsion-free modules over valuation domains, to appear on Rend. Sem. Mat. Univ. Padova. Zbl0685.13006MR988121
  9. [9] G. Viljoen, On torsion-free modules of rank two over almost maximal valuation domains, Lecture Notes n. 1006, Springer-Verlag, 1983, pp. 607-616. Zbl0597.13009MR722653
  10. [10] P. Zanardo, Indecomposable finitely generated modules over valuation domains, Annali Univ. Ferrara - Sc. Mat., 31 (1985), pp. 71-89. Zbl0598.13004MR841854
  11. [11] P. Zanardo, On the classification of indecomposable finitely generated modules over valuation domains, Comm. in Algebra, 13 (11) (1985), pp. 2473-2491. Zbl0581.13014MR807486

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