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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 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Asymptotic linear bounds for the Castelnuovo-Mumford regularity
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by Jürgen Herzog, Lê Tuân Hoa and Ngô Viêt Trung
Trans. Amer. Math. Soc. 354 (2002), 1793-1809
DOI: https://doi.org/10.1090/S0002-9947-02-02932-X
Published electronically: January 10, 2002

Abstract:

We prove asymptotic linear bounds for the Castelnuovo-Mumford regularity of certain filtrations of homogeneous ideals whose Rees algebras need not be Noetherian.
References
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Bibliographic Information
  • Jürgen Herzog
  • Affiliation: Fachbereich Mathematik, Universität-GHS Essen, 45117 Essen, Germany
  • MR Author ID: 189999
  • Email: juergen.herzog@uni-essen.de
  • Lê Tuân Hoa
  • Affiliation: Institute of Mathematics, Box 631, Bò Hô, 10000 Hanoi, Vietnam
  • Email: lthoa@hanimath.ac.vn
  • Ngô Viêt Trung
  • Affiliation: Institute of Mathematics, Box 631, Bò Hô, 10000 Hanoi, Vietnam
  • MR Author ID: 207806
  • Email: nvtrung@hn.vnn.vn
  • Received by editor(s): November 25, 2000
  • Published electronically: January 10, 2002
  • Additional Notes: The second and third authors are partially supported by the National Basic Research.
  • © Copyright 2002 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 354 (2002), 1793-1809
  • MSC (2000): Primary 13D45
  • DOI: https://doi.org/10.1090/S0002-9947-02-02932-X
  • MathSciNet review: 1881017