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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles 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 1.48.

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Uniform symbolic topologies in abelian extensions
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by Craig Huneke and Daniel Katz PDF
Trans. Amer. Math. Soc. 372 (2019), 1735-1750 Request permission

Abstract:

In this paper we prove that, under mild conditions, an equicharacteristic integrally closed domain which is a finite abelian extension of a regular domain has the uniform symbolic topology property.
References
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Additional Information
  • Craig Huneke
  • Affiliation: Department of Mathematics, University of Virginia, Charlottesville, Virginia 22903
  • MR Author ID: 89875
  • Email: huneke@virginia.edu
  • Daniel Katz
  • Affiliation: Department of Mathematics, University of Kansas, Lawrence, Kansas 66045
  • Email: dlk53@ku.edu
  • Received by editor(s): April 30, 2018
  • Received by editor(s) in revised form: May 30, 2018
  • Published electronically: May 7, 2019
  • Additional Notes: The first author was partially supported by NSF grant DMS-1460638 and thanks them for their support.
  • © Copyright 2019 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 372 (2019), 1735-1750
  • MSC (2010): Primary 13A02, 13F20, 13H15
  • DOI: https://doi.org/10.1090/tran/7623
  • MathSciNet review: 3976575