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Anneaux de ’polynômes à valeurs entières’ et anneaux de Fatou. (French) Zbl 0202.32802

MSC:
13F20 Polynomial rings and ideals; rings of integer-valued polynomials
13B22 Integral closure of commutative rings and ideals
13B21 Integral dependence in commutative rings; going up, going down
13F30 Valuation rings
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References:
[1] BENZAGHOU (B.) . - Algèbres de Hadamard , Bull. Soc. math. France, t. 98, 1970 , p. 209-252 (Thèse Sc. math. Paris, 1969 ). Numdam | MR 44 #1658 | Zbl 0206.33203 · Zbl 0206.33203 · numdam:BSMF_1970__98__209_0 · eudml:87144
[2] BOURBAKI (N.) . - Algèbre commutative , chap. 1-7. - Paris, Hermann, 1961 - 1965 (Act. scient. et ind., 1290, 1293, 1308, 1314 ; Bourbaki, 27, 28, 30, 31).
[3] CAHEN (P.-J.) et CHABERT (J.-L.) . - Coefficients et valeurs d’un polynôme , Bull. Sc. math., 2e série, t. 95, 1971 , p. 295-304. MR 45 #5126 | Zbl 0221.13006 · Zbl 0221.13006
[4] CAHEN (P.-J.) et CHABERT (J.-L.) . - Corps henséliens . Coefficients et valeurs d’un polynôme, Thèse 3e cycle, Paris, 1970 .
[5] CAHEN (P.-J.) . - Transfert de la propriété de Fatou aux anneaux de polynômes , Bull. Sc. math., 2e série, t. 94, 1970 , p. 81-83. MR 42 #5982 | Zbl 0204.37003 · Zbl 0204.37003
[6] OSTROWSKI (A.) . - Ueber ganzwertige Polynome in algebraischen Zahlkörpern , J. für reine und angew. Math., t. 149, 1919 , p. 117-124. JFM 47.0163.05 · JFM 47.0163.05
[7] POLYA (G.) . - Ueber ganzwertige Polynome in algebraischen Zahlkörpern , J. für reine und angew. Math., t. 149, 1919 , p. 97-116. JFM 47.0163.04 · JFM 47.0163.05
[8] ZARISKI (O.) and SAMUEL (P.) . - Commutative algebra . Vol. 1 and 2. - Princeton, D. Van Nostrand Company, 1958 - 1960 (The University Series in higher Mathematics). Zbl 0121.27801 · Zbl 0121.27801
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