Rank-two torsion-free modules over valuation domains

Luigi Salce; Paolo Zanardo

Rendiconti del Seminario Matematico della Università di Padova (1988)

  • Volume: 80, page 175-201
  • ISSN: 0041-8994

How to cite

top

Salce, Luigi, and Zanardo, Paolo. "Rank-two torsion-free modules over valuation domains." Rendiconti del Seminario Matematico della Università di Padova 80 (1988): 175-201. <http://eudml.org/doc/108116>.

@article{Salce1988,
author = {Salce, Luigi, Zanardo, Paolo},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {rank-two torsion-free modules over valuation domains; breath ideal},
language = {eng},
pages = {175-201},
publisher = {Seminario Matematico of the University of Padua},
title = {Rank-two torsion-free modules over valuation domains},
url = {http://eudml.org/doc/108116},
volume = {80},
year = {1988},
}

TY - JOUR
AU - Salce, Luigi
AU - Zanardo, Paolo
TI - Rank-two torsion-free modules over valuation domains
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1988
PB - Seminario Matematico of the University of Padua
VL - 80
SP - 175
EP - 201
LA - eng
KW - rank-two torsion-free modules over valuation domains; breath ideal
UR - http://eudml.org/doc/108116
ER -

References

top
  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, Infinite abelian groups, vol. II, Academic Press, London and New York, 1973. Zbl0257.20035MR349869
  4. [4] L. Fuchs - L. Salce, Prebasic submodules over valuation rings, Annali Mat. Pura e Appl., 32 (1982), pp. 257-274. Zbl0515.13007MR696046
  5. [5] L. Fuchs - L. Salce, Modules over valuation domains, Lecture Notes Pure Appl. Math., no. 97, Marcel Dekker, New York, Basel, 1985. Zbl0578.13004MR786121
  6. [6] L. Fuchs - G. VILJOEN, On finite rank torsion-free modules over almost maximal valuation domains, Comm. in Algebra, 12 (3) (1984), pp. 245-258. Zbl0535.13009MR737246
  7. [7] I. Kaplansky, Modules over Dedekind and valuation rings, Trans. Amer. Math. Soc., 72 (1952), pp. 327-340. Zbl0046.25701MR46349
  8. [8] I. Kaplansky, Infinite abelian groups, Univ. of Michigan Press, Ann Arbor, Michigan, 1969. Zbl0194.04402MR233887
  9. [9] L. Salce - P. ZANARDO, Finitely generated modules over valuation rings, Comm. in Algebra, 12 (15) (1984), pp. 1795-1818. Zbl0539.13007MR745167
  10. [10] L. Salce - P. ZANARDO, Some cardinal invariants for valuation domains, Rend. Sem. Mat. Univ. Padova, 74 (1985), pp. 205-217. Zbl0596.13015MR818727
  11. [11] L. Salce - P. ZANARDO, On two-generated modules over valuation domains, Archiv der Math., 46 (1986), pp. 408-418. Zbl0586.13003MR847084
  12. [12] L. Salce - P. Zanardo, A duality for finitely generated modules over valuation domains, Proceedings Oberwolfach 1985, Conference on Abelian Groups. Zbl0658.13014
  13. [13] G. Viljoen, On torsion-free modules of rank two over almost maximal valuation domains, Lecture Notes no. 1006, Springer-Verlag (1983), pp. 607-616. Zbl0597.13009MR722653
  14. [14] P. Zanardo, On the classification of indecomposable finitely generated modules over valuation domains, Comm. in Algebra, 43 (11) (1985), pp. 2473-2491. Zbl0581.13014MR807486
  15. [15] P. Zanardo, Indecomposable finitely generated modules over valuation domains, Annali Univ. Ferrara - Sc. Mat., 31 (1985), pp. 71-89. Zbl0598.13004MR841854
  16. [16] P. Zanardo, Quasi-isomorphisms of finitely generated modules over valuation domains (to appear). Zbl0654.13012MR964505

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.