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ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

On a question of M. Hochster


Author: R. C. Cowsik
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
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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 [Enhancements On Off] (What's this?)

  • [H] M. Hochster, Symbolic powers in Noetherian domains, Illinois J. Math. 15 (1971), 9-27. MR. 42 #5966. MR 0271083 (42:5966)
  • [B] Marie-José Bertin, Anneau des invariants du groupe alterné, en caractéristique 2, Bull. Sci. Math. (2) 94 (1970), 65-72. MR 42 #1819. MR 0266917 (42:1819)

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DOI: https://doi.org/10.1090/S0002-9939-1973-0311641-8
Article copyright: © Copyright 1973 American Mathematical Society

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