Ordres de Gorenstein

Martine Picavet-L'hermitte

Annales scientifiques de l'Université de Clermont. Mathématiques (1987)

  • Volume: 91, Issue: 24, page 1-32
  • ISSN: 0249-7042

How to cite

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Picavet-L'hermitte, Martine. "Ordres de Gorenstein." Annales scientifiques de l'Université de Clermont. Mathématiques 91.24 (1987): 1-32. <http://eudml.org/doc/80564>.

@article{Picavet1987,
author = {Picavet-L'hermitte, Martine},
journal = {Annales scientifiques de l'Université de Clermont. Mathématiques},
keywords = {integral order; Dedekind ring; Gorenstein ring; complement; different; canonical ideals; fractional ideals},
language = {fre},
number = {24},
pages = {1-32},
publisher = {UER de Sciences exactes et naturelles de l'Université de Clermont},
title = {Ordres de Gorenstein},
url = {http://eudml.org/doc/80564},
volume = {91},
year = {1987},
}

TY - JOUR
AU - Picavet-L'hermitte, Martine
TI - Ordres de Gorenstein
JO - Annales scientifiques de l'Université de Clermont. Mathématiques
PY - 1987
PB - UER de Sciences exactes et naturelles de l'Université de Clermont
VL - 91
IS - 24
SP - 1
EP - 32
LA - fre
KW - integral order; Dedekind ring; Gorenstein ring; complement; different; canonical ideals; fractional ideals
UR - http://eudml.org/doc/80564
ER -

References

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  2. [2] Borevitch Z.I. et Chafarevitch I.R.: Théorie des Nombres, Gauthier-Villars. Paris (1967). Zbl0145.04901MR205908
  3. [3] Dade E.C., Taussky O. and Zassenhauss H.: On the theory of orders, in particular on the semi-group of ideals classes and genera of an order in an algebraic number field. Math Annalen148, 31-64 (1962). Zbl0113.26504MR140544
  4. [4 ] Demeyer F.R.: The trace map and separable algebras. Osaka J. Math.3, 7-11 (1966). Zbl0154.28502MR228542
  5. [5] Ferrand D. et Olivier J.P.: Homomorphismes minimaux d'anneaux. J. Algebra.16, 461-471 (1970). Zbl0218.13011MR271079
  6. [6] Fröhlich A. and Cassels J.W.S.: Algebraic number theory, Academic Press, London and New-York (1967). Zbl0153.07403MR215665
  7. [7] Frôhlich A.: Invariants for modules over commutative separable orders. Quart. J. Math. Oxford (2), 16, 193-232 (1965). Zbl0192.14002MR210697
  8. [8] Herzog J. und Kunz E.: Der kanonische Modul eines Cohen-Macaulay Rings, Lecture Notes in Mathematics, Springer-Verlag, Berlin. HeidelbergNew-York (1971). Zbl0231.13009MR412177
  9. [9] Hilbert D.: Théorie des corps de nombres algébriques, Hermann, Paris (1913). 
  10. [10] Matlis E.: 1-Dimensional Cohen-Macaulay rings. Lecture Notes in Mathematics, Springer-Verlag, Berlin, New-York (1973). Zbl0264.13012MR357391
  11. [11] Seydi H.: La théorie des anneaux Japonais. Colloque d'Algèbre commutative, Pub. Sém. Math. Univ. Rennes (1972). Zbl0238.13022MR366896
  12. [12] Swan R.G.: On seminormality. J. Algebra67, 210-229 (1980). Zbl0473.13001MR595029
  13. [13] Traverso C.: Seminormality and Picard group. Ann. Scuola Norm. Sup. Pisa24, 585-595 (1970). Zbl0205.50501MR277542

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