Théorie de la dimension dans les anneaux de polynômes

Paul Jaffard

  • Publisher: Gauthier-Villars, 1960

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Jaffard, Paul. Théorie de la dimension dans les anneaux de polynômes. 1960. <http://eudml.org/doc/192666>.

@book{Jaffard1960,
author = {Jaffard, Paul},
keywords = {lattices, rings, fields},
language = {fre},
publisher = {Gauthier-Villars},
title = {Théorie de la dimension dans les anneaux de polynômes},
url = {http://eudml.org/doc/192666},
year = {1960},
}

TY - BOOK
AU - Jaffard, Paul
TI - Théorie de la dimension dans les anneaux de polynômes
PY - 1960
PB - Gauthier-Villars
LA - fre
KW - lattices, rings, fields
UR - http://eudml.org/doc/192666
ER -

References

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  1. Y. AKIZUKI [1] _ Einige Bemerkungen über primäre Integritätsbereiche mit Teilerkettensatz. Proc. Phys. Math. Soc. Japan. Vol. 17 (1935), pp. 327-336. Zbl0012.24501JFM61.1029.02
  2. C. CHEVALLEY [1] _ La notion d'anneau de décomposition - Nagoya Math. J. Vol. 7(1954), pp. 21-33. Zbl0057.27003MR67866
  3. I.S. COHEN [1] _ Lengths of prime ideal chains - Amer. J. Math. Vol. 76 (1954), pp. 654-668. Zbl0057.26702MR62116
  4. I.S. COHEN et A. SEIDENBERG [1] _ Prime ideals and integral dependance. Bull. Amer. Math. Soc. Vol. 52 (1946), pp. 252-261. Zbl0060.07003MR15379
  5. P. JAFFARD [1] _ Dimension des anneaux de polynomes - Comportement asymptotique de la dimension. C.R. Acad. Sci. Paris. Vol. 246 (1958), pp. 3.199-3.201. Zbl0095.25903MR94340
  6. P. JAFFARD [2] _ Dimension des anneaux de polynomes - La notion de dimension valuative. C.R. Acad. Sci. Paris. Vol. 246 (1958), pp. 3.306-3.307. Zbl0083.03202MR94341
  7. P. JAFFARD [3] _ Les systèmes d'idéaux - Dunod, Paris (1960). Zbl0101.27502MR114810
  8. P. JAFFARD [4] _ Valuations d'un anneau noethérien et théorie de la dimension. Sem. Algèbre (Dubreil) - Fac. Sc. Paris (Février 1960). Zbl0111.04103
  9. W. KRULL [1] _ Ein Satz über primäre Integritätsbereiche. Math. Ami. Vol. 103 (1930), pp. 450-465. Zbl56.0140.02MR1512631JFM56.0140.02
  10. W. KRULL [2] _ Allgemeine Bewertungstheorie - J. reine ang. Math. Vol. 167 (1931), pp. 160-196. Zbl0004.09802JFM58.0148.02
  11. W. KRULL [3] _ Idealtheorie - Ergebnisse der Math. Springer, Berlin (1935). Zbl0155.36401MR229623
  12. W. KRULL [4] _ Beitrage zur Arithmetik kommutativer Integritätsbereiche I - Multiplikationsringe, ausgezeichnete Idealsysteme, Kroneckersche Funktionalringe - Math. Zeit. Vol. 41 (1936), pp. 544-577. Zbl0015.00203
  13. W. KRULL [5] _ Beitrage zur Arithmetik kommutativer Integritätsbereiche III - Zum Dimensionsbegriff der Idealtheorie. Math. Zeit. Vol. 42 (1937), pp. 745-766. Zbl0017.14901MR1545707JFM63.0879.02
  14. W. KRULL [6] _ Jacobsonsche Ringe, Hilbertscher Nullstellensatz, Dimensionstheorie. Math. Zeit. Vol. 54 (1951), pp. 354-387. Zbl0043.03802MR47622
  15. S. LANG [1] _ Introduction to algebraical geometry - Interscience Publishers, New-York (1958). Zbl0095.15301MR100591
  16. E. NOETHER [1] _ Eliminationstheorie und allgemeine Idealtheorie - Math. Ann. Vol. 90 (1923), pp. 223-261. MR1512173JFM49.0076.04
  17. E. NOETHER [2] _ Abstrakter Aufbau der Idealtheorie in algebraischen Zahl-und Funktionenkörper. Math. Ann. Vol. 96 (1927), pp. 26-61. Zbl52.0130.01MR1512304JFM52.0130.01
  18. D. G. NORTHCOTT [1] _ A general theory of one-dimensional local rings. - Proc. Glasgow Math. Assoc. Vol. 2, part 4 (1956), pp. 159-169. Zbl0115.03304MR76748
  19. O. F. G. SCHILLING [1] _ The theory of valuations - Math. Surveys, New-York (1950). Zbl0037.30702MR43776
  20. A. SEIDENBERG [1] _ A note on the dimension theory of rings - Pacific J. Math. Vol. 3 (1953), pp. 505-512. Zbl0052.26902MR54571
  21. A. SEIDENBERG [2] _ On the dimension theory of rings II - Pacific J. Math. Vol. 4 (1954), pp. 603-614. Zbl0057.26802MR65540
  22. B.L. VAN DER WAERDEN [1] _ Zur Nullstellentheorie der Polynomideale - Math. Ann. Vol. 96 (1926), pp. 183-208. Zbl52.0126.01MR1512314JFM52.0126.01
  23. B.L. VAN DER WAERDEN [2] _ Moderne Algebra - 2me édition, Springer, Berlin (1940). Zbl0022.29801MR2841JFM66.0034.01

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