论文标题
特殊水晶晶格的联接理想的第1和2-贝蒂数量的总数
Total of each of the 1-th and 2-th Betti numbers of the join-meet ideal of Special Crystal Lattice
论文作者
论文摘要
山高木·希比（Takayuki Hibi）于1987年引入了联盟赛理想。这是由有限晶格定义的二项式理想。我们研究并不总是满足模块化的非分配有限晶格的联盟理想。特别是，我们处理的是水晶晶格的情况下之一。在本文中，我们给出了特殊晶体晶格的联接组理想的1-三分之二和2分的betti数字中的总计。有关此结果的重要一点是它的特征是特殊发电机的组合数量。此外，我们可以从此结果考虑，兼容的单序订单暗示了与好的事物的联系。
The join-meet ideal was introduced by Takayuki Hibi in 1987. It is binomial ideals that are defined by finite lattices. We study the join-meet ideal of non-distributive finite lattices that do not always satisfy modular. In particular, we work on the case of Crystal lattice which is one of them. In this paper, we give the computational result of a total of each of the 1-th and 2-th of grade Betti numbers of the join-meet ideal of a special Crystal lattice. The important point about this result is that it is characterized by the number of combinations of special generators. Moreover, we can consider from this result that a compatible monomial order suggests a connection to something good.
