Sur des idéaux engendrés par des déterminants

Avec les contributions de : Northcott ;  Eagon

Séminaire Dubreil. Algèbre et théorie des nombres, Tome 17 (1963-1964) no. 2, Exposé no. 1 et 18, 12 p. 
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     title = {Sur des id\'eaux engendr\'es par des d\'eterminants},
     journal = {S\'eminaire Dubreil. Alg\`ebre et th\'eorie des nombres},
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Micali, Artibano. Sur des idéaux engendrés par des déterminants. Séminaire Dubreil. Algèbre et théorie des nombres, Tome 17 (1963-1964) no. 2, Exposé no. 1 et 18, 12 p. http://archive.numdam.org/item/SD_1963-1964__17_2_A6_0/

[1] Buchsbaum (D.A.) and Rim (R.S.). - A generalized Koszul complex, Bull. Amer. math. Soc., t. 69, 1963, p. 382-385. | MR | Zbl

[2] Buchsbaum (D.A.). - A generalized Koszul complex, I., Trans. Amer. math. Soc., t. 111, 1964, p. 183-196. | MR | Zbl

[3] Buchsbaum (D.A.) and Rim (R.S.). - A generalized Koszul complex, II : Depth end multiplicity, Trans. Amer. math. Soc., t. 111, 1964, p. 157-224. | MR | Zbl

[4] Cohen (I.S.). - On the structure and idéal theory of complete local rings, Trans. Amer. math. Soc., t. 59, 1946, p. 54-106. | MR | Zbl

[5] Cohen (I.S.). - Unmixed ideals, Conference on algebraic geometry and algebraic number theory [January 1949. University of Chicago, Department of Mathematics] (non publié).

[6] Dubreil (P. ) . - Idéaux de polynômes et fonction de Hilbert, Atti del Convegno internationale di Geometria algebrica [1961. Torino], p. 151-164. - Torino, L. Rattero, 1962. | MR | Zbl

[7] Eagon (J.A.). - Ideals generated by the subdeterminants of a matrix (Thesis Philo Doct., Univ. Chicago, 1961).

[8] Eagon (J.A.) and Northcott (D.G.). - Ideals defined by matrices and a certain complex associated with them, Proc. Royal Soc., t. 269, 1962, p. 188-204. | MR | Zbl

[9] Eagon (J.A.) and Northcott (D.G.). - A note on the Hilbert fonctions of certains ideals which are defined by matrices, Mathematika, t. 9, 1962, p. 118-126. | MR | Zbl

[10] Harada (M.). - Some remarks on M-sequences in noetherian rings, J. Inst. Polytechn. Osaka City Univ., t. 9, 1958, p. 39-41. | MR | Zbl

[11] Hilbert (D.). - Über die Theorie der algebraischen Formen, Math. Annalen, t. 36, 1890, p. 473-534. | JFM | MR

[12] Krull (W.). - Primidealketten in allgemeinen Ringbereichen, Sitzungsb. Heidelberg Akad. Wiss., 1928, n° 7, 14 p. | JFM

[13] Macaulay (F.S.). - The algebraic theory of modular Systems. - Cambridge, at the University Press, 1916 (Cambridge Tracts in Math. and math. Physics, 19). | JFM | MR | Zbl

[14] Micali (A.). - Sur les algèbres universelles, Ann. Inst. Fourier, Grenoble, t. 14, 1964, p. 33-88 (Thèse Sc. math. Paris, 1963). | Numdam | MR | Zbl

[15] Nagata (M.). - Local rings. - New York, Interscience Publishers, 1962 (Interscience Tracts in pure and appl. Math., 13). | MR | Zbl

[16] Northcott (D.G.). - Ideal theory. - Cambridge, at the University Press, 1953 (Cambridge Tracts in pure and appl. Math., 42). | MR | Zbl

[17] Northcott (D.G.). - Semi-regular rings and semi-regular ideals, Quart. J. Math., Oxford Series, t. 11, 1960, p. 81-104. | MR | Zbl

[18] Northcott (D.G. ). - Some remarks on the theory of ideals defined by matrices, Quart. J. Math. Oxford Series, t. 14, 1963, p. 193-204. | MR | Zbl

[19] Rees (D.). - The grade of an ideal or module, Proc. Cambridge Phil. Soc., t. 53, 1957, p. 28-42. | MR | Zbl

[20] Zariski (O.) and Samuel (P.). - Commutative algebra, Vol. 2. - Princeton, Van Nostrand Company, 1960. | MR | Zbl