The monomial ideal of a finite meet-semilattice
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- by Jürgen Herzog, Takayuki Hibi and Xinxian Zheng PDF
- Trans. Amer. Math. Soc. 358 (2006), 4119-4134 Request permission
Abstract:
Squarefree monomial ideals arising from finite meet-semilattices and their free resolutions are studied. For the squarefree monomial ideals corresponding to poset ideals in a distributive lattice, the Alexander dual is computed.References
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Additional Information
- Jürgen Herzog
- Affiliation: Fachbereich Mathematik und Informatik, Universität Duisburg-Essen, 45117 Essen, Germany
- MR Author ID: 189999
- Email: juergen.herzog@uni-essen.de
- Takayuki Hibi
- Affiliation: Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University, Toyonaka, Osaka 560-0043, Japan
- MR Author ID: 219759
- Email: hibi@math.sci.osaka-u.ac.jp
- Xinxian Zheng
- Affiliation: Fachbereich Mathematik und Informatik, Universität Duisburg-Essen, 45117 Essen, Germany
- Email: xinxian.zheng@uni-essen.de
- Received by editor(s): November 6, 2003
- Received by editor(s) in revised form: September 2, 2004, and September 9, 2004
- Published electronically: February 20, 2006
- © Copyright 2006 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 358 (2006), 4119-4134
- MSC (2000): Primary 13D02, 13H10, 06A12, 06D99
- DOI: https://doi.org/10.1090/S0002-9947-06-03842-6
- MathSciNet review: 2219013