Some cardinal invariants for valuation domains

Luigi Salce; Paolo Zanardo

Rendiconti del Seminario Matematico della Università di Padova (1985)

  • Volume: 74, page 205-217
  • ISSN: 0041-8994

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Salce, Luigi, and Zanardo, Paolo. "Some cardinal invariants for valuation domains." Rendiconti del Seminario Matematico della Università di Padova 74 (1985): 205-217. <http://eudml.org/doc/108003>.

@article{Salce1985,
author = {Salce, Luigi, Zanardo, Paolo},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {maximal valuation rings; Goldie-dimension},
language = {eng},
pages = {205-217},
publisher = {Seminario Matematico of the University of Padua},
title = {Some cardinal invariants for valuation domains},
url = {http://eudml.org/doc/108003},
volume = {74},
year = {1985},
}

TY - JOUR
AU - Salce, Luigi
AU - Zanardo, Paolo
TI - Some cardinal invariants for valuation domains
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1985
PB - Seminario Matematico of the University of Padua
VL - 74
SP - 205
EP - 217
LA - eng
KW - maximal valuation rings; Goldie-dimension
UR - http://eudml.org/doc/108003
ER -

References

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  1. [1] W. Brandal, Almost maximal integral domains and finitely generated modules, Trans. Amer. Math. Soc., 183 (1973), pp. 203-222. Zbl0273.13011MR325609
  2. [2] A. Facchini - P. Vamos, Almost reflexive rings (to appear). 
  3. [3] A. Facchini - P. Zanardo (to appear). 
  4. [4] L. Fuchs - L. Salce, Modules over valuation rings, Lecture Notes in Pure and Applied Math., Marcel Dekker, New York (in prints). Zbl0497.13008
  5. [5] L. Fuchs - G. VILJOEN, On finite rank torsion-free modules over almost maximal valuation domains, Comm. Alg., 12, 3 (1984), pp. 245-258. Zbl0535.13009MR737246
  6. [6] R. Gilmer, Multiplicative ideal theory, Marcel Dekker, New York, 1972. Zbl0248.13001MR427289
  7. [7] I. Kaplansky, Maximal fields with valuations, Duke Math. J., 9 (1942), pp. 303-321. Zbl0063.03135MR6161
  8. [8] W. Krull, Allgemeine Bewertungstheorie, J. für Math., 177 (1937), pp. 215-237. 
  9. [9] M. Nagata, Local rings, Interscience Tracts Pure Appl. Math., J. Wiley and S., New York, London, 1962. Zbl0123.03402MR155856
  10. [10] M. Nishi, On the ring of endomorphisms of an indecomposable injective module over a Prüfer ring, Hiroshima Math. J., 2 (1972), pp. 271-283. Zbl0281.13006MR318128
  11. [11] A. Ostrowsky, Untersuchungen zur arithmetischen Theorie der Körper, Math. Z., 39 (1935), pp. 269-404. Zbl0010.15001MR1545505
  12. [12] R.B. WarfiedlJr., Purity and algebraic compactness for modules, Pacific J. Math., 28 (1969), pp. 699-719. Zbl0172.04801MR242885
  13. [13] P. Zanardo, Indecomposable finitely generated modules over valuation domains (to appear). Zbl0598.13004MR841854

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