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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