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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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Rees algebras of ideals with low codimension
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by Susan Morey and Bernd Ulrich PDF
Proc. Amer. Math. Soc. 124 (1996), 3653-3661 Request permission

Abstract:

For certain grade two perfect ideals, there is an expected description of the equations of the Rees algebra. In this paper, the Cohen–Macaulayness of the Rees algebra, numerical invariants of the ideal, and a condition on the minors of a presentation matrix of the ideal are shown to be related to the equations having this form.
References
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Additional Information
  • Susan Morey
  • Affiliation: Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903
  • Address at time of publication: Department of Mathematics, University of Texas, Austin, Texas 78712
  • MR Author ID: 359023
  • Email: morey@math.utexas.edu
  • Bernd Ulrich
  • Affiliation: Department of Mathematics, Michigan State University, East Lansing, Michigan 48824
  • MR Author ID: 175910
  • Email: ulrich@math.msu.edu
  • Received by editor(s): March 31, 1995
  • Received by editor(s) in revised form: June 21, 1995
  • Additional Notes: The second author was partially supported by the NSF
  • Communicated by: Wolmer V. Vasconcelos
  • © Copyright 1996 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 124 (1996), 3653-3661
  • MSC (1991): Primary 13A30; Secondary 13H10, 13C14
  • DOI: https://doi.org/10.1090/S0002-9939-96-03470-3
  • MathSciNet review: 1343713