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
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