Discrete valuation domains and ranks of their maximal extension

A. Facchini; P. Zanardo

Rendiconti del Seminario Matematico della Università di Padova (1986)

  • Volume: 75, page 143-156
  • ISSN: 0041-8994

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Facchini, A., and Zanardo, P.. "Discrete valuation domains and ranks of their maximal extension." Rendiconti del Seminario Matematico della Università di Padova 75 (1986): 143-156. <http://eudml.org/doc/108016>.

@article{Facchini1986,
author = {Facchini, A., Zanardo, P.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {maximal immediate extension; completion defect; total defect},
language = {eng},
pages = {143-156},
publisher = {Seminario Matematico of the University of Padua},
title = {Discrete valuation domains and ranks of their maximal extension},
url = {http://eudml.org/doc/108016},
volume = {75},
year = {1986},
}

TY - JOUR
AU - Facchini, A.
AU - Zanardo, P.
TI - Discrete valuation domains and ranks of their maximal extension
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1986
PB - Seminario Matematico of the University of Padua
VL - 75
SP - 143
EP - 156
LA - eng
KW - maximal immediate extension; completion defect; total defect
UR - http://eudml.org/doc/108016
ER -

References

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  1. [1] N. Bourbaki, Éléments de mathématique: algèbre commutative, Chap. 5, 6, Hermann, Paris, 1964. Zbl1101.13300MR2272929
  2. [2] R. Gilmer, Multiplicative ideal theory, Marcel Dekker Inc., New York, 1972. Zbl0248.13001MR427289
  3. [3] E. Matlis, Injective modules over Prufer rings, Nagoya Math. J., 15 (1959), pp. 57-69. Zbl0090.25305MR109840
  4. [4] E. Matlis, Torsion-free modules, Univ. of Chicago Press, Chicago, 1972. Zbl0298.13001MR344237
  5. [5] H. Matsumura, Commutative Algebra, W. A. Benjamin, New York, 1970. Zbl0211.06501MR266911
  6. [6] M. Nagata, Local Rings, Wiley (Interscience), New York, 1962. Zbl0123.03402MR155856
  7. [7] P. Ribenboim, On the completion of a valuation ring, Math. Annalen, 155 (1964), pp. 392-396. Zbl0136.32102MR164960
  8. [8] L. Salce - P. ZANARDO, Some cardinal invariants for valuation domains, Rend. Sem. Mat. Univ. Padova, 74 (1985). Zbl0596.13015MR818727
  9. [9] D.W. Sharpe - P. Vámos, Injective modules, Cambridge Univ. Press, Cambridge, 1972. Zbl0245.13001MR360706
  10. [10] P. Zanardo, Valuation domains without pathological modules, to appear in J. Algebra. Zbl0612.13009MR808835
  11. [11] S. Warner, Residual fields in valuation theory, to appear in Math. Scandinavica. Zbl0559.12014MR813637

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