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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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Existence of homogeneous ideals fitting into long Bourbaki sequences
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by Mutsumi Amasaki PDF
Proc. Amer. Math. Soc. 127 (1999), 3461-3466 Request permission

Abstract:

For any finitely generated torsion-free graded module over a polynomial ring, there exists a homogeneous ideal fitting into an exact sequence similar to a Bourbaki sequence even though its height is not restricted to two.
References
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Additional Information
  • Mutsumi Amasaki
  • Affiliation: Faculty of School Education, Hiroshima University, 1-1-1 Kagamiyama, Higashi-Hiro- shima 739-8524, Japan
  • Email: amasaki@ipc.hiroshima-u.ac.jp
  • Received by editor(s): September 26, 1997
  • Received by editor(s) in revised form: February 10, 1998
  • Published electronically: May 13, 1999
  • Communicated by: Wolmer V. Vasconcelos
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 127 (1999), 3461-3466
  • MSC (1991): Primary 13D02; Secondary 13D03
  • DOI: https://doi.org/10.1090/S0002-9939-99-04898-4
  • MathSciNet review: 1610925