|
|||||
|
|
Finite lattices and Gröbner bases |
|
| Authors: | Jürgen Herzog Takayuki Hibi |
| Affiliation: | 1. Fachbereich Mathematik, Universit?t Duisburg‐Essen, Campus Essen, 45117 Essen, Germany. Phone: (+49)2011832422, Fax: (+49)2011832426;2. Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University, Toyonaka, Osaka 560‐0043, Japan. Phone: (+81)6 6850 5299, Fax: (+81)6 6850 5327 |
| Abstract: | 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. |
| Keywords: | Finite lattices Grö bner bases MSC (2010) 13P10 06A11 06B05 |