Representation of partially ordered sets

Abstract

It is well known [1] 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 isomorphic 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/BF01190444

Keywords

1980 Mathematics Subject Classification: Primary O6A10

Publication Date

9-1-1993

Journal Title

Algebra Universalis

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