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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 a question of M. Hochster
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by R. C. Cowsik
Proc. Amer. Math. Soc. 37 (1973), 75-76
DOI: https://doi.org/10.1090/S0002-9939-1973-0311641-8
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Abstract:

It is shown that not all finite integral extensions of a Noetherian integrally closed domain A can be obtained by a process of adjoining integral elements whose monic irreducible equations over the quotient field have all the coefficients in the base ring and passing to A-subalgebras of the algebras so obtained.
References
  • M. Hochster, Symbolic powers in Noetherian domains, Illinois J. Math. 15 (1971), 9–27. MR 271083
  • Marie-José Bertin, Anneau des invariants du groupe alterné, en caractéristique $2$, Bull. Sci. Math. (2) 94 (1970), 65–72 (French). MR 266917
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Bibliographic Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 37 (1973), 75-76
  • MSC: Primary 13B99
  • DOI: https://doi.org/10.1090/S0002-9939-1973-0311641-8
  • MathSciNet review: 0311641