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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A short proof of the algebraic Weierstrass preparation theorem
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by S. M. Gersten PDF
Proc. Amer. Math. Soc. 88 (1983), 751-752 Request permission

Abstract:

The contraction mapping principle yields a short proof of the algebraic Weierstrass Preparation Theorem.
References
  • N. Bourbaki, Éléments de mathématique. Fasc. XXXI. Algèbre commutative. Chapitre 7: Diviseurs, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1314, Hermann, Paris, 1965 (French). MR 0260715
    • D. Kreider, R. Kuller and D. Ostberg, Elementrary differential equations, Addison-Wesley, Reading, Mass., 1968.
  • Oscar Zariski and Pierre Samuel, Commutative algebra. Vol. II, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London-New York, 1960. MR 0120249, DOI 10.1007/978-3-662-29244-0
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Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 88 (1983), 751-752
  • MSC: Primary 13J05; Secondary 32B05
  • DOI: https://doi.org/10.1090/S0002-9939-1983-0702313-2
  • MathSciNet review: 702313