A note on essentially convex orders

被引：0
|
作者：
G. Hauser Bordalo
机构：
[1] Centro de Álgebra da Universidade de Lisboa,Departamento de Matemática e
来源：
algebra universalis | 2005年 / 53卷
关键词：
06B; 06C; Ordered sets; distributive lattice; embedding; join-irreducible elements; order ideal; Birkhoff’s duality;
D O I：
暂无
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学科分类号：
摘要：
In this note, we determine precisely which partially ordered sets (posets) have the property that, whenever they occur as subposets of a larger poset, they occur there convexly, i.e., as convex subposets. As a corollary, we also determine which lattices have the property that, if they occur as sublattices of a finite distributive lattice L, then they also occur as closed intervals in L. Throughout, all sets will be finite.
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页码：281 / 285
页数：4
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