Order completion monads

Research output: Contribution to journalArticlepeer-review

Abstract

Categories of partially ordered sets that are complete under least upper bounds of subsets of a given form (finite, chains, etc.) are characterized as categories of algebras for submonads of the monad of complete semilattices. A general completion construction is given, and several structural properties, such as tensor products, colimits, and factorizations, are studied.

Original languageEnglish (US)
Pages (from-to)63-82
Number of pages20
JournalAlgebra Universalis
Volume16
Issue number1
DOIs
StatePublished - Dec 1 1983
Externally publishedYes

ASJC Scopus subject areas

  • Algebra and Number Theory

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