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Continuous derivations of valued fields. (English) Zbl 0256.12102


MSC:

12J10 Valued fields
46J99 Commutative Banach algebras and commutative topological algebras
12H05 Differential algebra
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References:

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[3] DIEUDONNÉ (J.) et GROTHENDIECK (A.) . - Éléments de géométrie algebrique . I : Le langage des schémas. - Paris, Presses universitaires de France, 1960 (Institut des Hautes Études Scientifiques. Publications mathématiques, 4). Numdam | Zbl 0118.36206 · Zbl 0118.36206 · doi:10.1007/BF02684778
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[6] KIEHL (R.) . - Ausgezeichnete Ringe in der nichtarchimedischen analytischen Geometrie , J. für reine und angewan. Math., t. 234, 1969 , p. 89-98. Article | MR 39 #4450 | Zbl 0169.36501 · Zbl 0169.36501 · doi:10.1515/crll.1969.234.89
[7] VAN DER PUT (M.) . - Espaces de Banach non archimédiens , Bull. Soc. math. France, t. 97, 1969 , p. 309-320. Numdam | MR 43 #3773 | Zbl 0193.40901 · Zbl 0193.40901
[8] VAN TIEL (J.) . - Espaces localement K-convexes , Indagationes Math., 1965 , p. 249-289, et Koninkl. nederl. Akad. Wetens., Proc., Séries A, t. 68, 195, p. 249-289. MR 31 #3841a | Zbl 0133.06502 · Zbl 0133.06502
[9] ZARISKI (O.) and SAMUEL (P.) . - Commutative algebra . Vol. I and II. - Princeton, D. Van Nostrand, 1958 - 1960 (University Series in higher Mathemetics). Zbl 0121.27801 · Zbl 0121.27801
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