Valuations d'un anneau noethérien et théorie de la dimension

Paul Jaffard

Séminaire Dubreil. Algèbre et théorie des nombres (1959-1960)

  • Volume: 13, Issue: 2, page 1-21

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Jaffard, Paul. "Valuations d'un anneau noethérien et théorie de la dimension." Séminaire Dubreil. Algèbre et théorie des nombres 13.2 (1959-1960): 1-21. <http://eudml.org/doc/111189>.

@article{Jaffard1959-1960,
author = {Jaffard, Paul},
journal = {Séminaire Dubreil. Algèbre et théorie des nombres},
keywords = {rings, modules, fields},
language = {fre},
number = {2},
pages = {1-21},
publisher = {Secrétariat mathématique},
title = {Valuations d'un anneau noethérien et théorie de la dimension},
url = {http://eudml.org/doc/111189},
volume = {13},
year = {1959-1960},
}

TY - JOUR
AU - Jaffard, Paul
TI - Valuations d'un anneau noethérien et théorie de la dimension
JO - Séminaire Dubreil. Algèbre et théorie des nombres
PY - 1959-1960
PB - Secrétariat mathématique
VL - 13
IS - 2
SP - 1
EP - 21
LA - fre
KW - rings, modules, fields
UR - http://eudml.org/doc/111189
ER -

References

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  1. [1] Abhyankar ( Shreeram). - On the valuations centered in a local domain, Amer. J. of Math., t. 78, 1956, p. 321-348. Zbl0074.26301MR82477
  2. [2] Abhyankar ( Shreeram). - Local uniformization on algebraic surfaces over ground fields of characteristic p ≠ 0 , Annals of Math., Series 2, t. 63, 1956, p. 491-526. Zbl0108.16803MR78017
  3. [3] Abhyankar ( Shreeram) and Zariski ( Oscar). - Splitting of valuations in extension of local domains, Proc. nat. Acad. Sc. U. S. A., t. 41, 1955, p. 84-90. Zbl0064.27204MR71412
  4. [4] Cohen ( I.S.). - On the structure and ideal theory of complete local rings, Trans. Amer. math. Soc., t. 59, 1946, p. 54-106. Zbl0060.07001MR16094
  5. [5] Jaffard ( Paul). - Dimension des anneaux de polynômes I., Séminaire Dubroil-Pisot : Algèbre et Théorie des nombres, t. 11, 1957/58, n° 22, 13 p. Zbl0168.29104
  6. [6] Jaffard ( Paul). - Dimension des anneaux de polynômes, II et Addendum, Séminaire Dubreil-Pisot : Algèbre et Théorie des nombres, t. 11, 1957/58, n° 25, 20 p. Zbl0168.29104
  7. [7] Jaffard ( Paul). - Théorie de la dimension dans les anneaux de polynômes, Mémorial des Sciences mathématiques (à paraître). Zbl0096.02502
  8. [8] Krull ( Wolfgang). - Ein Satz über primäre Integritätsberichte, Math. Annalen, t. 103, 1930, p. 450-465. MR1512631JFM56.0140.02
  9. [9] Krull ( Wolfgang). - Idealtheorie. - Berlin, J. Springer, 1935 (Ergebnisse der Mathematik, 3). Zbl0011.19702MR229623JFM61.0113.01
  10. [10] Krull ( Wolfgang). - Beiträge zur Arithmetik kommutativen Integritätsbereiche III : Zum Dimensionsbegriff der Idealtheorie, Math. Z., t. 42, 1937, p. 745-766. Zbl0017.14901MR1545707JFM63.0879.02
  11. [11] Krull ( Wolfgang). - Jacobsonsche Ringe, Hilbertscher Nullstellensatz, Dimensionstheorie, Math. Z., t. 54, 1951, p. 354-387. Zbl0043.03802MR47622
  12. [12] Northcott ( D.G.). - Ideal theory. - Cambridge, at the University Press, 1953 (Cambridge Tracts in Mathematics and mathematical Physics, 42). Zbl0052.26801MR58575
  13. [13] Sakuma ( Motoyoshi). - Existence theorems of valuations centered in a local domain with preassigned dimension and rank, J. Sc. Hiroshima Univ., Series A, t. 21, 1957, p. 61-67. Zbl0088.03404MR96647
  14. [14] Samuel ( Pierre). - Algèbre locale. - Paris, Gauthier-Villars, 1953 (Mémorial des Sciences mathématiques, 123). Zbl0053.01901MR54995
  15. [15] Satô ( Hazimu). - On splitting of valuations in extension of local domains, J. Sc. Hiroshima Univ., Series A, t. 21, 1957, p. 69-75. Zbl0088.03501MR96648
  16. [16] Zariski ( Oscar). - A simple analytical proof of a fundamental property of birational transformations, Proc. nat. Acad. Sc. U. S. A., t. 35, 1949, p. 62-66. Zbl0037.16401MR28056

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