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Samuel, Pierre

Sur les anneaux factoriels. (French) Zbl 0101.27305

Bull. Soc. Math. Fr. 89, 155-173 (1961).
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Cited in 26 Documents

Keywords:

lattices; rings; fields
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\textit{P. Samuel}, Bull. Soc. Math. Fr. 89, 155--173 (1961; Zbl 0101.27305)
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References:

[1] ANDREOTTI (A.) e SALMON (P.) . - Anelli con unica decomponibilità in fattori primi , ed un problema di intersezioni complete, Monatshefte für Mathematik, t. 61, 1957 , p. 97-142. MR 21 #3415 | Zbl 0079.15002 · Zbl 0079.15002
[2] AUSLANDER (M.) and BUCHSBAUM (D. A.) . - Unique factorization in regular local rings , Proc Nat. Acad. U. S. A., t. 45, 1959 , p. 733-734. MR 21 #2669 | Zbl 0084.26504 · Zbl 0084.26504
[3] BARSOTTI (Iacopo) . - Repartitions on abelian varieties , Illinois J. Math., t. 2, 1958 , p. 43-70. Article | MR 21 #2656 | Zbl 0091.33401 · Zbl 0091.33401
[4] BOURBAKI (Nicolas) . - Algèbre , Chapitre 6 : Groupes et corps ordonnés. - Paris, Hermann. 1952 (Act. scient. et ind., 1179 ; Éléments de Mathématique, 14). · Zbl 1105.18001
[5] BOURBAKI (Nicolas) . - Algèbre commutative (à paraître). · Zbl 1107.13002
[6] CARTAN (H.) and EILENBERG (S) . - Homological algebra . - Princeton, Princeton University Press, 1956 (Princeton mathematical Series, 19). MR 17,1040e | Zbl 0075.24305 · Zbl 0075.24305
[7] CARTIER (Pierre) . - Questions de rationalité des diviseurs en géométrie algébrique , Bull. Soc. math. France, t. 86, 1958 , p. 177-251 (Thèse Sc. math., Paris, 1958 ). Numdam | Zbl 0091.33501 · Zbl 0091.33501
[8] HABICHT (Walter) . - Über Polynomabbildungen , Math. Annalen, t. 126, 1953 , p. 149-176. Zbl 0052.25701 · Zbl 0052.25701
[9] KRULL (Wolfgang) . - Idealtheorie . - Berlin, J. Springer, 1935 (Ergebnisse der Mathematik, Band 4, Heft 3). Zbl 0011.19702 | JFM 61.0113.01 · Zbl 0011.19702
[10] LEFSCHETZ (Solomon) . - On certain numerical invariants of algebraic varieties , Trans. Amer. math. Soc., t. 22, 1921 , p. 327-482. JFM 48.0428.03 · JFM 48.0428.03
[11] MORI (Yoshiro) . - On the fundamental theorem of regular local rings , Bull. Kyoto Gakugei Univ., Series B, t. 15, 1959 , p. 17-22. MR 22 #6829 · Zbl 0269.13010
[12] NAGATA (Masayoshi) . - A remark on the unique factorization theorem , J. Math. Soc. Japan, t. 9, 1957 , p. 143-145. Article | MR 18,869a | Zbl 0079.05405 · Zbl 0079.05405
[13] SAMUEL (Pierre) . - La notion de multiplicité en algèbre et en géométrie algébrique , J. Math. pures et appl., Série 9, t. 30, 1951 , p. 159-274. MR 13,980c | Zbl 0044.02701 · Zbl 0044.02701
[14] SAMUEL (Pierre) . - Progrès récents d’algèbre locale . - Rio de Janeiro, Instituto de Matematica, 1959 (Notas de Matematica, 19). Zbl 0228.16001 · Zbl 0228.16001
[15] SAMUEL (Pierre) . - On unique factorization domains , Illinois J. Math., vol. 5, 1961 , p. 1-17. Article | MR 22 #12121 | Zbl 0147.29202 · Zbl 0147.29202
[16] SERRE (Jean-Pierre) . - Faisceaux algébriques cohérents , Annals of Math., Series 2, t. 61, 1955 , p. 197-278. MR 16,953c | Zbl 0067.16201 · Zbl 0067.16201
[17] SERRE (Jean-Pierre) . - Géométrie algébrique et géométrie analytique , Ann. Inst. Fourier, Grenoble, t. 6, 1955 - 1956 , p. 1-42. Numdam | MR 18,511a | Zbl 0075.30401 · Zbl 0075.30401
[18] SERRE (Jean-Pierre) . - Modules projectifs et espaces fibrés à fibre vectorielle , Séminaire Dubreil-Pisot : Algèbre et Théorie des nombres, t. 11, 1957 - 1958 , n^\circ 23, 18 pages. Numdam | Zbl 0132.41202 · Zbl 0132.41202
[19] SESHADRI (C. S.) . - Triviality of vector bundles over the affine space K2 , Proc. nat. Acad. Sc. U. S. A., t. 44, 1958 , p. 456-468. MR 21 #1318 | Zbl 0081.26603 · Zbl 0081.26603
[20] SEVERI (Francesco) . - Una proprietà delle forme algebriche prive di punti multipli , Accad. dei Lincei, Rendiconti. Serie 5, t. 15, 1906 , p. 691-696. JFM 37.0131.01 · JFM 37.0131.01
[21] TARSKI (Alfred) . - A decision method for elementary algebra and geometry , Berkeley, University Press, 1951 . Zbl 0044.25102 · Zbl 0044.25102
[22] ZARISKI (O) and SAMUEL (P) . - Commutative algebra , vol. 1 et 2. - Princeton, D. Van Nostrand, 1958 - 1960 . Zbl 0121.27801 · Zbl 0121.27801
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