Finite lattices and Gröbner bases

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 13 Jun 2012Embargo end date: 01 Jan 2011 English Publisher:WileyJournal:Mathematische Nachrichten, volume 285, pages 1,969-1,973 (issn: 0025-584X, eissn: 1522-2616,

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Authors: Herzog, Jürgen; Hibi, Takayuki;

doi: 10.1002/mana.201100309 , 10.48550/arxiv.1109.4067

arXiv: 1109.4067

Finite lattices and Gröbner bases

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Abstract

AbstractGröbner bases of binomial ideals arising from finite lattices will be studied. In terms of Gröbner bases and initial ideals, a characterization of finite distributive lattices as well as planar distributive lattices will be given.

Related Organizations

Osaka University
Japan
University of Duisburg-Essen
Germany

Keywords

finite lattices, Mathematik, FOS: Mathematics, Algebraic aspects of posets, Gröbner bases, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Structure theory of lattices, Mathematics - Commutative Algebra, Commutative Algebra (math.AC)

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