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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality 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 1.43.

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Two model theoretic proofs of Rückert’s Nullstellensatz
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by Volker Weispfenning PDF
Trans. Amer. Math. Soc. 203 (1975), 331-342 Request permission

Abstract:

Rückert’s Nullstellensatz for germs of analytic functions and its analogue for germs of real analytic functions are proved by a combination of nonstandard analysis with a model theoretic transfer principle. It is also shown that Rückert’s Nullstellensatz is constructive essentially relative to the Weierstrass preparation theorem.
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 203 (1975), 331-342
  • MSC: Primary 02H25; Secondary 14A25, 26A90, 32B10
  • DOI: https://doi.org/10.1090/S0002-9947-1975-0369060-0
  • MathSciNet review: 0369060