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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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The approximation property for some $5$-dimensional Henselian rings
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by Joseph Becker, J. Denef and L. Lipshitz PDF
Trans. Amer. Math. Soc. 276 (1983), 301-309 Request permission

Abstract:

Let $k$ be a field of characteristic $0$, $k[[{X_1},{X_2}]]$ the ring of formal power series and $R = k[[{X_1},{X_2}]]{[{X_3},{X_4},{X_5}]^ \sim }$ the algebraic closure of $k[[{X_1},{X_2}]][{X_3},{X_4},{X_5}]$ in $k[[{X_1},\ldots ,{X_5}]]$. It is shown that $R$ has the Approximation Property.
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Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 276 (1983), 301-309
  • MSC: Primary 13J15; Secondary 13D10, 14B12, 14D15
  • DOI: https://doi.org/10.1090/S0002-9947-1983-0684510-2
  • MathSciNet review: 684510