Distributive Lattices, Affine Semigroup Rings and Algebras with Straightening Laws
Distributive Lattices, Affine Semigroup Rings and Algebras with Straightening Laws
复制标题
分配格、仿射半群环和具有直线律的代数
DOI：
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发表时间：
1987
期刊：
影响因子：
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通讯作者：
T. Hibi
中科院分区：
文献类型：
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作者：
T. Hibi
摘要格L称为域k上的积分，如果在Lover k上存在齐次ASL（algebra with straightening laws）整环。利用Birkhoff的基本结构定理，我们证明了每个有限分配格都是整数格。
Summary. A lattice L is called integral over a field k if there exists a homogeneous ASL (algebra with straightening laws) domain on Lover k. By virtue of fundamental structure theorem of Birkhoff, we can prove that every finite distributive lattice is integral.