Sur des idéaux engendrés par des déterminants

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1. [1] Buchsbaum ( D.A.) and Rim ( R.S.). - A generalized Koszul complex, Bull. Amer. math. Soc., t. 69, 1963, p. 382-385. Zbl0166.30502MR148720
2. [2] Buchsbaum ( D.A.). - A generalized Koszul complex, I., Trans. Amer. math. Soc., t. 111, 1964, p. 183-196. Zbl0131.27801MR159859
3. [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. Zbl0131.27802MR159859
4. [4] Cohen ( I.S.). - On the structure and idéal theory of complete local rings, Trans. Amer. math. Soc., t. 59, 1946, p. 54-106. Zbl0060.07001MR16094
5. [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. [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. Zbl0101.13401MR152523
7. [7] Eagon ( J.A.). - Ideals generated by the subdeterminants of a matrix (Thesis Philo Doct., Univ. Chicago, 1961). 
8. [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. Zbl0106.25603MR142592
9. [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. Zbl0108.04102MR144920
10. [10] Harada ( M.). - Some remarks on M-sequences in noetherian rings, J. Inst. Polytechn. Osaka City Univ., t. 9, 1958, p. 39-41. Zbl0087.26602MR101254
11. [11] Hilbert ( D.). - Über die Theorie der algebraischen Formen, Math. Annalen, t. 36, 1890, p. 473-534. MR1510634JFM22.0133.01
12. [12] Krull ( W.). - Primidealketten in allgemeinen Ringbereichen, Sitzungsb. Heidelberg Akad. Wiss., 1928, n° 7, 14 p. Zbl54.0156.01JFM54.0156.01
13. [13] Macaulay ( F.S.). - The algebraic theory of modular Systems. - Cambridge, at the University Press, 1916 (Cambridge Tracts in Math. and math. Physics, 19). Zbl0802.13001MR1281612JFM46.0167.01
14. [14] Micali ( A.). - Sur les algèbres universelles, Ann. Inst. Fourier, Grenoble, t. 14, 1964, p. 33-88 (Thèse Sc. math. Paris, 1963). Zbl0152.02602MR177009
15. [15] Nagata ( M.). - Local rings. - New York, Interscience Publishers, 1962 (Interscience Tracts in pure and appl. Math., 13). Zbl0123.03402MR155856
16. [16] Northcott ( D.G.). - Ideal theory. - Cambridge, at the University Press, 1953 (Cambridge Tracts in pure and appl. Math., 42). Zbl0052.26801MR58575
17. [17] Northcott ( D.G.). - Semi-regular rings and semi-regular ideals, Quart. J. Math., Oxford Series, t. 11, 1960, p. 81-104. Zbl0112.03001MR114835
18. [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. Zbl0116.02504MR151482
19. [19] Rees ( D.). - The grade of an ideal or module, Proc. Cambridge Phil. Soc., t. 53, 1957, p. 28-42. Zbl0079.26602MR82967
20. [20] Zariski ( O.) and Samuel ( P.). - Commutative algebra, Vol. 2. - Princeton, Van Nostrand Company, 1960. Zbl0121.27801MR120249