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Finite lattices and Gröbner bases
Author(s) -
Herzog Jürgen,
Hibi Takayuki
Publication year - 2012
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201100309
Subject(s) - distributive property , mathematics , pure mathematics , binomial (polynomial) , distributive lattice , planar , characterization (materials science) , algebra over a field , computer science , statistics , computer graphics (images) , materials science , nanotechnology
Gröbner 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.