@article{ASCFM_1989__94_25_1_0,
author = {Picavet-L'hermitte, Martine},
title = {Multiplicit\'e et norme d'un id\'eal fractionnaire et r\'egulier},
journal = {Annales scientifiques de l'Universit\'e de Clermont. Math\'ematiques},
pages = {1--46},
year = {1989},
publisher = {UER de Sciences exactes et naturelles de l'Universit\'e de Clermont},
volume = {94},
number = {25},
mrnumber = {1081384},
zbl = {0714.13002},
language = {fr},
url = {https://www.numdam.org/item/ASCFM_1989__94_25_1_0/}
}
TY - JOUR AU - Picavet-L'hermitte, Martine TI - Multiplicité et norme d'un idéal fractionnaire et régulier JO - Annales scientifiques de l'Université de Clermont. Mathématiques PY - 1989 SP - 1 EP - 46 VL - 94 IS - 25 PB - UER de Sciences exactes et naturelles de l'Université de Clermont UR - https://www.numdam.org/item/ASCFM_1989__94_25_1_0/ LA - fr ID - ASCFM_1989__94_25_1_0 ER -
%0 Journal Article %A Picavet-L'hermitte, Martine %T Multiplicité et norme d'un idéal fractionnaire et régulier %J Annales scientifiques de l'Université de Clermont. Mathématiques %D 1989 %P 1-46 %V 94 %N 25 %I UER de Sciences exactes et naturelles de l'Université de Clermont %U https://www.numdam.org/item/ASCFM_1989__94_25_1_0/ %G fr %F ASCFM_1989__94_25_1_0
Picavet-L'hermitte, Martine. Multiplicité et norme d'un idéal fractionnaire et régulier. Annales scientifiques de l'Université de Clermont. Mathématiques, Tome 94 (1989) no. 25, pp. 1-46. https://www.numdam.org/item/ASCFM_1989__94_25_1_0/
[1] , Torsion free and projective modules, Trans. Amer. Math. Soc., 102, (1962), 319-327. | Zbl | MR
[2] , On the ubiquity of Gorenstein rings, Math. Z., 82, (1963), 8-28. | Zbl | MR
[3] , , Théorie des nombres, Gauthier-villars, Paris, (1967) . | Zbl | MR
[4] , Commutative rings with restricted minimum condition, Duke Math. J ., 17, (1950), 27-42. | Zbl | MR
[5] , and , On the theory of orders, in particular on the semi-group of idéal classes and genera of an order in an algebraic number field, Math. Ann., 148, (1962), 31-64. | Zbl | MR
[6] , , Module équivalences: local to global, when primitive polynomials represent units, J. Algebra, 77, (1982), 138-157. | Zbl | MR
[7] , , Algebraic Number Theory, Academic Press, London, New-York, (1967) | Zbl | MR
[8] , Invariants for modules over commutative separable orders, Quart. J. Math. Oxford, 16, (1965), 193-232. | Zbl | MR
[9] , , On the number of generators of an invertible ideal, J. Algebra, 14, (1970), 139-151. | Zbl | MR
[10] , Stable ideals and Arf rings, Amer. J. Math., 93 (1971), 649-685 | Zbl | MR
[11] , Two annihilator conditions: Property (A) and (R.C.), Comm. Algebra, 14, (1986), 557-580 | Zbl | MR
[12] , 1-dimensional Cohen-Macaulay rings, Lecture Notes in Mathematics, N° 327, Springer-Verlag, Berlin, New-York, (1973) | Zbl | MR
[13] , Lessons on rings, module and multiplicities, Cambridge University Press, (1968) . | Zbl | MR
[14] , Prime ideals and DedeKind orders, Proc. London Math. Soc., 10 (1960), 481-496. | Zbl | MR
[15] , Propriétes et applications de la notion de contenu, Comm. Alg., 13 (1985), 2231-2265. | Zbl | MR
[16] , Ordres de Gorenstein, J Ann. Sci. Univ. Clermont II, Ser. Math. 24, (1987),1-32. | Zbl | MR | Numdam
[17] , Idéaux civisoriels d'un anneau de polynômes, J. Algebra, 64, (1980), 270-284. | Zbl | MR
[18] , , Stable rings, J. Pure Appl. Algebra, 4, (1974),319-336. | Zbl | MR
[19] , , Commutative Algebra, Vol 1, D. Var Nostrand Company, Inc., Princeton, Toronto, New-York, London, (1960) . | Zbl | MR





