On the representation of partially ordered sets

被引：0
|
作者：
Kemp P.A. [1 ]
机构：
[1] Department of Mathematics, Southwest Missouri State University, Springfield
来源：
Rendiconti del Circolo Matematico di Palermo | 1997年 / 46卷 / 1期
关键词：
Primary 06A10;
D O I：
10.1007/BF02844476
中图分类号：
学科分类号：
摘要：
It is well known that any distributive poset (short for partially ordered set) has an isomorphic representation as a poset (Q, ⊆) such that the supremum and the infimum of any finite set F of P correspond, respectively to the union and intersection of the images of the elements of F. Here necessary and sufficient conditions are given for similar isomophic representation of a poset where however the supremum and infimum of also infinite subsets I correspond to the union and intersection of images of elements of I. © 1997 Springer.
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页码：119 / 122
页数：3
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