Shorter Notes: A Short Proof of the Algebraic Weierstrass Preparation Theorem

DOI10.2307/2045476zbMath0514.13014OpenAlexW1999934874MaRDI QIDQ3659886

Steve M. Gersten

Publication date: 1983

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2045476

zbMATH Keywords

contraction mapping principlealgebraic Weierstrass preparation theorem

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Relevant commutative algebra (14A05) Complete rings, completion (13J10) Power series rings (13J05) Real-analytic manifolds, real-analytic spaces (32C05)

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An elementary proof of Cohen-Gabber theorem in the equal characteristic \(p>0\) case ⋮ On the upper semi-continuity of the Hilbert-Kunz multiplicity ⋮ Specialization method in Krull dimension two and Euler system theory over normal deformation rings ⋮ Singularities of plane algebraic curves

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