Monomial Ideals

  • Jürgen HerzogEmail author
  • Takayuki Hibi


Chapter 1 summarizes fundamental material on monomial ideals. In particular, we consider the integral closure of monomial ideals, squarefree normally torsionfree ideals, squarefree monomial ideals and simplicial complexes, Alexander duality and polarization of monomial ideals.


Prime Ideal Simplicial Complex Polynomial Ring Monomial Ideal Integral Closure 
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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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