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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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A generalized Dedekind-Mertens lemma and its converse
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by Alberto Corso, William Heinzer and Craig Huneke PDF
Trans. Amer. Math. Soc. 350 (1998), 5095-5109 Request permission

Abstract:

We study content ideals of polynomials and their behavior under multiplication. We give a generalization of the Lemma of Dedekind–Mertens and prove the converse under suitable dimensionality restrictions.
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Additional Information
  • Alberto Corso
  • Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47906
  • Address at time of publication: Department of Mathematics, Michigan State University, East Lansing, Michigan 48824
  • MR Author ID: 348795
  • Email: corso@math.msu.edu
  • William Heinzer
  • Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47906
  • Email: heinzer@math.purdue.edu
  • Craig Huneke
  • Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47906
  • MR Author ID: 89875
  • Email: huneke@math.purdue.edu
  • Received by editor(s): February 10, 1997
  • Additional Notes: The authors gratefully acknowledge partial support from the NSF

  • Dedicated: To Wolmer V. Vasconcelos on the occasion of his sixtieth birthday
  • © Copyright 1998 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 350 (1998), 5095-5109
  • MSC (1991): Primary 13A15; Secondary 13B25, 13G05, 13H10
  • DOI: https://doi.org/10.1090/S0002-9947-98-02176-X
  • MathSciNet review: 1473435