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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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Henselian fields and solid $k$-varieties. II
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by Gustave Efroymson PDF
Proc. Amer. Math. Soc. 35 (1972), 362-366 Request permission

Abstract:

Let k be a real closed or Henselian field. A k-variety X (affine) is said to be solid if X is determined by its k points. It is shown that a k-variety is solid if and only if it contains a nonsingular k point. Another condition for solidity is given and a dimension theorem indicated.
References
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Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 35 (1972), 362-366
  • MSC: Primary 14G20; Secondary 13J15
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0318160-2
  • MathSciNet review: 0318160