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• [4] A. W. Goldie, Rings with maximum condition, Lecture Notes, Yale University.
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• [7] A. Grothendieck, Eléments de geometrie algébrique, Chapter I, Publ. Math. Inst. Haute Études Sci., No. 4, 1960.
• [8] Nathan Jacobson, Structure of rings, American Mathematical Society, Colloquium Publications, vol. 37, American Mathematical Society, 190 Hope Street, Prov., R. I., 1956. MR 0081264
• [9] Oscar Zariski and Pierre Samuel, Commutative algebra, Volume I, The University Series in Higher Mathematics, D. Van Nostrand Company, Inc., Princeton, New Jersey, 1958. With the cooperation of I. S. Cohen. MR 0090581
• [10] Charles W. Curtis, On additive ideal theory in general rings, Amer. J. Math. 74 (1952), 687–700. MR 0049161, https://doi.org/10.2307/2372273
• [11] H. Cartan et C. Chevalley, Séminaire de l'Ecole Normale Supérieure, 1955-56, Géometrie Algébrique.
• [12] Maurice Auslander and Oscar Goldman, The Brauer group of a commutative ring, Trans. Amer. Math. Soc. 97 (1960), 367–409. MR 0121392, https://doi.org/10.1090/S0002-9947-1960-0121392-6
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Bibliography

[1]

R. Croisot, Séminaire P. Dubreil et C. Pisot, 1956/57, Algèbre et Théories des Nombres, Exposé 22.

[2]

L. Lesieur and R. Croisot, Extension au cas non commutatif d'un théorème de Krull et d'un lemme d'Artin-Rees, J. Reine Angew. Math. 204 (1960), 216-220. MR 0131436 (24:A1287)

[3]

L. Lesieur, Séminaire P. Dubreil-Jacotin et C. Pisot, 1957-58, Algèbre et Théorie des Nombres, Exposé 14.

[4]

A. W. Goldie, Rings with maximum condition, Lecture Notes, Yale University.

[5]

D. C. Murdoch, Contributions to non-commutative ideal theory, Canad. J. Math. 4 (1952), 43-57.

[6]

H. Tominaga, On primary ideal decompositions in non-commutative rings, Math. J. Okayama Univ. 3 (1953), 37-46. MR 0060486 (15:676f)

[7]

A. Grothendieck, Eléments de geometrie algébrique, Chapter I, Publ. Math. Inst. Haute Études Sci., No. 4, 1960.

[8]

N. Jacobson, Structure of rings. Amer. Math. Soc. Colloq. Publ. Vol. 37, Amer. Math. Soc., Providence, R. I., 1956. MR 0081264 (18:373d)

[9]

O. Zariski and P. Samuel, Commutative algebra, Van Nostrand, Princeton, N. J., 1958. MR 0090581 (19:833e)

[10]

C. Curtis, Additive ideal theory in general rings, Amer. J. Math. 74 (1952), 687-700. MR 0049161 (14:127b)

[11]

H. Cartan et C. Chevalley, Séminaire de l'Ecole Normale Supérieure, 1955-56, Géometrie Algébrique.

[12]

M. Auslander and O. Goldman, The Brauer group of a commutative ring, Trans. Amer. Math. Soc. 97 (1960), 367-409. MR 0121392 (22:12130)

[13]

-, Trans. Amer. Math. Soc. 97 (1960), 1-24.

[14]

D. G. Northcott, Ideal theory, Cambridge Tracts No. 42, Cambridge Univ. Press, Cambridge, 1953. MR 0058575 (15:390f)