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A short proof of the algebraic Weierstrass preparation theorem


Author: S. M. Gersten
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
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Abstract: The contraction mapping principle yields a short proof of the algebraic Weierstrass Preparation Theorem.


References [Enhancements On Off] (What's this?)

  • [B] N. Bourbaki, Algèbre commutative 7: Diviseurs, Hermann, Paris, 1965. MR 0260715 (41:5339)
  • [K-K-O] D. Kreider, R. Kuller and D. Ostberg, Elementrary differential equations, Addison-Wesley, Reading, Mass., 1968.
  • [Z-S] O. Zariski and P. Samuel, Commutative algebra, Vol. II, Van Nostrand, Princeton, N.J., 1960. MR 0120249 (22:11006)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1983-0702313-2
Keywords: Complete local ring, distinguished polynomial, complete metric space, contraction mapping principle
Article copyright: © Copyright 1983 American Mathematical Society

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