Le groupe des classes de l'algèbre affine d'une forme quadratique

Alain Bouvier

Publications du Département de mathématiques (Lyon) (1978)

  • Volume: 15, Issue: 3, page 53-62
  • ISSN: 0076-1656

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Bouvier, Alain. "Le groupe des classes de l'algèbre affine d'une forme quadratique." Publications du Département de mathématiques (Lyon) 15.3 (1978): 53-62. <http://eudml.org/doc/273438>.

@article{Bouvier1978,
author = {Bouvier, Alain},
journal = {Publications du Département de mathématiques (Lyon)},
keywords = {factorial ring; class group; Krull ring; affine algebra; quadratic form},
language = {fre},
number = {3},
pages = {53-62},
publisher = {Université Claude Bernard - Lyon 1},
title = {Le groupe des classes de l'algèbre affine d'une forme quadratique},
url = {http://eudml.org/doc/273438},
volume = {15},
year = {1978},
}

TY - JOUR
AU - Bouvier, Alain
TI - Le groupe des classes de l'algèbre affine d'une forme quadratique
JO - Publications du Département de mathématiques (Lyon)
PY - 1978
PB - Université Claude Bernard - Lyon 1
VL - 15
IS - 3
SP - 53
EP - 62
LA - fre
KW - factorial ring; class group; Krull ring; affine algebra; quadratic form
UR - http://eudml.org/doc/273438
ER -

References

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  2. [2] Bouvier A., Quatre exposés sur les anneaux de Krull. Pub. du C.N.R.ROME1977 
  3. [3] Cavalière M.P., Sui moduli liberi a projettivi graduatti. Ball. U.M.I.514A (1977) 82-91. Zbl0348.13005MR437517
  4. [4] Claborn L., Dedekind domains : overring and semi-prime dement, Fac. J. Math.15 (1965) 799-804. Zbl0135.08003MR188243
  5. [5] Claborn L. and Fossum R., Higher rank class group. Bull. Amer. Math. Soc.73 (1967) 233-237. Zbl0148.26702MR209273
  6. [6] Claborn L. and Fossum R., Generalizations of the notion of class-group. Illinois J. Math12 (1968) 228-253. Zbl0159.04901MR224601
  7. [7] Dieudonné J. , Sur les groupes classiques. Hermann (1973). Zbl0926.20030MR344355
  8. [8] Fossum R., The divisor class group of a Krull domain. Springer Verlag Band 74 (1973). Zbl0256.13001MR382254
  9. [9] Grothendieck A., Eléments de géométrie algébriqueIV n° 20 et 32IHES1967PUF Zbl0153.22301
  10. [10] Lafon J.P., Les formalismes fondamentaux de l'algèbre commutative. Hermann1974 Zbl0907.13002MR364210
  11. [11] Lafon J.P., Algèbre commutative. Langages géométrique et algébriqueHermann (1977). Zbl0907.13001MR460306
  12. [12] Micali A. et Revoy PH., Modules quadratiques. Cahiers Mathématiques Montpellier10. (1977). Zbl0383.10012MR491775
  13. [13] Nagata M., A remark on the unique factorization theorem. J. Math. Soc. Japon9. (1957) 143-145. Zbl0079.05405MR84490
  14. [14] Ogoma T., On a problem of Fossum. Proc. Japan. Acad.50 (1974) 266-267. Zbl0305.13013MR360563
  15. [15] Samuel P., Sur les anneaux factoriels. Bull. Soc. Math. France89 (1961) 155-173, Zbl0101.27305MR139614
  16. [16] Samuel P., Anneaux factoriels. Soc. Math. de Saô Paulo. 1963. Zbl0123.03303MR156867
  17. [17] Samuel P., Lectures on the unique factorization domains. Tata instituteBombay1964. Zbl0184.06601MR214579
  18. [18] Storch V., Über die Divisarklassengruppen normaler komplexonalytischerAlgebren Math. Ann183 (1969) 93-104. Zbl0174.33402MR257070
  19. [19] Swan R., Vector bundles and projective modules. Topology Nov. (1962) 264-277. Zbl0109.41601MR143225

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