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Monomial orders and weights

  • Jürgen Herzog
  • Takayuki Hibi

Abstract

Chapter 3 presents one of the most fundamental results on initial ideals, which says that the graded Betti numbers of the initial ideal in<(I) are greater than or equal to the corresponding graded Betti numbers of I. This fact is used again and again in this book, especially in shifting theory.

Keywords

Complete Intersection Lexicographic Order Residue Class Monomial Ideal Free Resolution 
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Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  1. 1.Fachbereich MathematikUniversität Duisburg-EssenEssenGermany
  2. 2.Department of Pure and Applied Mathematics, Graduate School of Information Science and TechnologyOsaka UniversityToyonakaJapan

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