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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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On generators of ideals
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by T. T. Moh PDF
Proc. Amer. Math. Soc. 77 (1979), 309-312 Request permission

Abstract:

In our previous work we had constructed some space curves to illustrate the unboundedness of generators of prime ideals in analytic geometry. In this article we further study these space curves to establish the exact number of minimal generators for the corresponding ideals and to express them as determinant ideals.
References
  • Shreeram Abhyankar, On Macaulay’s examples, Conference on Commutative Algebra (Univ. Kansas, Lawrence, Kan., 1972), Lecture Notes in Math., Vol. 311, Springer, Berlin, 1973, pp. 1–16. Notes by A. Sathaye. MR 0466156
  • T. T. Moh, On the unboundedness of generators of prime ideals in power series rings of three variables, J. Math. Soc. Japan 26 (1974), 722–734. MR 354680, DOI 10.2969/jmsj/02640722
  • Judith D. Sally, Numbers of generators of ideals in local rings, Marcel Dekker, Inc., New York-Basel, 1978. MR 0485852
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Additional Information
  • © Copyright 1979 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 77 (1979), 309-312
  • MSC: Primary 14H20; Secondary 13A17
  • DOI: https://doi.org/10.1090/S0002-9939-1979-0545586-0
  • MathSciNet review: 545586