"On the representation of partially ordered sets" by Paula A. Kemp
 

On the representation of partially ordered sets

Abstract

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.

Department(s)

Mathematics

Document Type

Article

DOI

https://doi.org/10.1007/BF02844476

Publication Date

2-1-1997

Journal Title

Rendiconti del Circolo Matematico di Palermo

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