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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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The short resolution of a lattice ideal
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by Pilar Pisón Casares PDF
Proc. Amer. Math. Soc. 131 (2003), 1081-1091 Request permission

Abstract:

The short resolution of a lattice ideal is a free resolution over a polynomial ring whose number of variables is the number of extremal rays in the associated cone. A combinatorial description of this resolution is given. In the homogeneous case, the regularity can be computed from this resolution.
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Additional Information
  • Pilar Pisón Casares
  • Affiliation: Departamento de Álgebra, Facultad de Matemáticas, University of Sevilla, Apartado 1160, 41080 Sevilla, Spain
  • Email: pilar@algebra.us.es, ppison@us.es
  • Received by editor(s): July 26, 2001
  • Received by editor(s) in revised form: November 21, 2001
  • Published electronically: September 19, 2002
  • Additional Notes: This work was supported by MCyT Spain, BFM2000-1523
  • Communicated by: Wolmer V. Vasconcelos
  • © Copyright 2002 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 131 (2003), 1081-1091
  • MSC (2000): Primary 13D02, 14M25; Secondary 13P10, 68W30
  • DOI: https://doi.org/10.1090/S0002-9939-02-06767-9
  • MathSciNet review: 1948098