×

zbMATH — the first resource for mathematics

Sur la compacité du spectre minimal d’un anneau. (French) Zbl 0215.36803
Bull. Soc. Math. Fr. 99, 265-272 (1971); erratum ibid. 100, 461 (1972).

MSC:
13C99 Theory of modules and ideals in commutative rings
14A15 Schemes and morphisms
13C11 Injective and flat modules and ideals in commutative rings
PDF BibTeX XML Cite
Full Text: DOI Numdam EuDML
References:
[1] BERTIN (J. C.) . - Exposé fait au Colloque d’algèbre [ 1970 , Lyon].
[2] BOURBAKI (N.) . - Algèbre commutative , Chap. 1-2, 3-4, 5-6, 7. - Paris, Hermann, 1961 - 1965 (Act. scient. et ind., 1290, 1293, 1308, 1314 ; Bourbaki, 27, 28, 30, 31).
[3] ENDO (S.) . - On semi-hereditary rings , J. Math. Soc. Japan, t. 13, 1961 , p. 109-119. Article | MR 25 #2107 | Zbl 0102.02902 · Zbl 0102.02902
[4] GABRIEL (P.) . - Des catégories abéliennes , Bull. Soc. Math. France, t. 90, 1962 , p. 332-448 (Thèse Sc. math. Paris, 1961 ). Numdam | MR 38 #1144 | Zbl 0201.35602 · Zbl 0201.35602
[5] HENRIKSEN (M.) and JERISON (M.) . - The space of minimal prime ideals of a commutative ring , Trans. Amer. math. Soc., t. 115, 1965 , p. 110-130. MR 33 #3086 | Zbl 0147.29105 · Zbl 0147.29105
[6] LAMBECK (J.) . - Lectures on rings and modules . - Waltham, Blaisdell publishing Company, 1966 (A Blaisdell Book in pure and applied Mathematics). Zbl 0143.26403 · Zbl 0143.26403
[7] LAZARD (D.) . - Autour de la platitude , Bull. Soc. math. France, t. 97, 1969 , p. 81-128 (Thèse Sc. math. Paris, 1968 ). Numdam | MR 40 #7310 | Zbl 0174.33301 · Zbl 0174.33301
[8] LAZARD (D.) . - Ass de modules plats , C. R. Acad. Sc. Paris, t. 269, 1969 , Série A, p. 65-67. MR 39 #5549 | Zbl 0175.03602 · Zbl 0175.03602
[9] MEWBORN (A. C.) . - Some conditions on commutative semiprime rings , J. of Algebra, t. 13, 1969 , p. 422-431. MR 39 #6925 | Zbl 0184.06603 · Zbl 0184.06603
[10] PIERCE (R. S.) . - Modules over commutative regular rings . - Providence, American mathematical Society, 1967 (Mémoirs of the American mathematical Society, 70). MR 36 #151 | Zbl 0152.02601 · Zbl 0152.02601
[11] Séminaire SAMUEL , 1967 - 1968 : Les épimorphismes d’anneaux . - Paris, Secrétariat mathématique, 1968 . Numdam | Zbl 0159.00101 · Zbl 0159.00101
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.