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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 the reduction number of some graded algebras
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by Henrik Bresinsky and Lê Tuân Hoa PDF
Proc. Amer. Math. Soc. 127 (1999), 1257-1263 Request permission

Abstract:

The main result of the paper confirms, for generic coordinates, a conjecture which states that $r(R/I) \le r(R/in(I))$. Here $I$ is a homogeneous polynomial ideal in $R$ and $r(R/I)$ and $r(R/in(I))$ are the reduction numbers.
References
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Additional Information
  • Henrik Bresinsky
  • Affiliation: Department of Mathematics, University of Maine, Orono, Maine 04469-5752
  • Email: Henrik@maine.maine.edu
  • Lê Tuân Hoa
  • Affiliation: Institute of Mathematics, Box 631, Bò Hô, Hanoi, Vietnam
  • Received by editor(s): April 18, 1997
  • Received by editor(s) in revised form: August 6, 1997
  • Published electronically: January 27, 1999
  • Communicated by: Wolmer V. Vasconcelos
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 127 (1999), 1257-1263
  • MSC (1991): Primary 13C05, 13A15
  • DOI: https://doi.org/10.1090/S0002-9939-99-04622-5
  • MathSciNet review: 1473657