Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

The polydisk nullstellensatz

Author(s): Douglas Bridges; Ray Mines; Fred Richman; Peter Schuster
Journal: Proc. Amer. Math. Soc. 132 (2004), 2133-2140.
MSC (2000): Primary 03F60, 32A65
Posted: December 19, 2003
MathSciNet review: 2053987
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Abstract | References | Similar articles | Additional information

Abstract: The Nullstellensatz for zeros in a closed polydisk of $\mathbf{C}^{n}$ is proved constructively with no appeal to choice axioms.

References:

1.: Errett Bishop and Douglas Bridges, Constructive analysis, Grundlehren der mathematischen Wissenschaften, Band 279, Springer-Verlag, Berlin, 1985. MR 87d:03172
2.: Robert C. Gunning and Hugo Rossi, Analytic functions of several complex variables, Prentice-Hall, Englewood Cliffs, NJ, 1965. MR 31:4927
3.: Raymond Mortini and Rudolf Rupp, A constructive proof of the Nullstellensatz for subalgebras of , Travaux Math. 3 (1991), 45-49. MR 94k:46101
4.: M. von Renteln, A simple constructive proof of an analogue of the Corona theorem, Proc. Amer. Math. Soc., 83 (1981), 299-303. MR 82h:46073

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