Polyserial modules over valuation domains

L. Fuchs; L. Salce

Rendiconti del Seminario Matematico della Università di Padova (1988)

  • Volume: 80, page 243-264
  • ISSN: 0041-8994

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Fuchs, L., and Salce, L.. "Polyserial modules over valuation domains." Rendiconti del Seminario Matematico della Università di Padova 80 (1988): 243-264. <http://eudml.org/doc/108121>.

@article{Fuchs1988,
author = {Fuchs, L., Salce, L.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {valuation domain; polyserial modules; chain of submodules; finiteness conditions; length; Malcev rank; Fleischer rank; Goldie dimension},
language = {eng},
pages = {243-264},
publisher = {Seminario Matematico of the University of Padua},
title = {Polyserial modules over valuation domains},
url = {http://eudml.org/doc/108121},
volume = {80},
year = {1988},
}

TY - JOUR
AU - Fuchs, L.
AU - Salce, L.
TI - Polyserial 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 - 243
EP - 264
LA - eng
KW - valuation domain; polyserial modules; chain of submodules; finiteness conditions; length; Malcev rank; Fleischer rank; Goldie dimension
UR - http://eudml.org/doc/108121
ER -

References

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  1. [F1] P. Fleury, A note on dualizing Goldie dimensions, Can. Math. Bull., 17 (1974), pp. 511-517. Zbl0323.16009MR376753
  2. [Fu1] L. Fuchs, Arbitrarily large indecomposable divisible torsion modules over certain valuation domains, Rend. Sem. Mat. Univ. Padova, 76 (1986), pp. 247-254. Zbl0611.13010MR881573
  3. [Fu2] L. Fuchs, Polyserial modules over valuation domains, Periodica Math. Zbl0628.13013
  4. [FM] L. Fuchs - E. Monari-Martinez, On modules over valuation domains whose finitely generated submodules are direct sums of cyclics, Arch. Math. Zbl0644.13001
  5. [FS] L. Fuchs - L. Salce, Modules over Valuation Domains, Lecture Notes in Pure and Appl. Math., vol. 97, Marcel Dekker (1985). Zbl0578.13004MR786121
  6. [GP] P. Grzeszczuk - E. Puczylowski, On Goldie and dual Goldie dimensions, J. Pure Appl. Alg., 31 (1984), pp. 47-54. Zbl0528.16010MR738204
  7. [R] K.M. Rangaswamy, Modules with finite spanning dimension, Can. Math. Bull., 20 (1977), pp. 255-262. Zbl0358.16017MR460385
  8. [SZ1] L. Salce - P. Zanardo, Finitely generated modules over valuation rings, Comm. Alg., 12 (1984), pp. 1795-1812. Zbl0539.13007MR745167
  9. [SZ2] L. Salce - P. Zanardo, On two-generated modules over valuation domains, Archiv. Math., 46 (1986), pp. 408-418. Zbl0586.13003MR847084
  10. [SZ 3) L. Salce - P. Zanardo, Bank-two torsion-free modules over valuation domains (to appear). Zbl0685.13006MR988121
  11. [SZ 4] L. Salce - P. Zanardo, Finitely generated modules over valuation domains (to appear). Zbl0689.13008MR995280
  12. [Si] J. Simmons, Cyclic-purity: a generalization of purity for modules, Houston J. Math., 13 (1987), pp. 135-150. Zbl0625.13007MR884239

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