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Rings of convergent power series and Weierstrass Preparation Theorem

Published online by Cambridge University Press:  22 January 2016

Takasi Sugatani
Takasi Sugatani*
Affiliation:
Department of Mathematics, Faculty of Science Toyama University
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Let B be a B-ring with a nonarchimedean valuation | |, i.e., B is an integral domain satisfying the following conditions: (i) B is bounded (| a | ≤ 1 for every a ∊ B), (ii) the boundary forms a multiplicative group.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 81 , March 1981 , pp. 73 - 78
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1981

References

[ 1 ] Grauert, H. and Remmert, R., Nichtarchimedische Funktionentheorie, Weierstrass-Festschrift, Wissenschaftl. Abh. Arbeitsgem. f. Forsch. Nordrhein-Westfalen, 33 (1966), 393–476.Google Scholar
[ 2 ] Grauert, H. and Remmert, R., Über die Methode der diskret bewerteten Ringe in der nichtarchimedischen Analysis, Inventiones Math., 2 (1966), 87–133.Google Scholar
[ 3 ] van Rooij, A. C. M., Non-Archimedean Functional Analysis, Marcel Dekker, Inc., New York, 1978.Google Scholar
[ 4 ] Sugatani, T., On quasi-noetherian rings which are not noetherian, Math. Rep. Toyama Univ., 1 (1978), 65–73.Google Scholar