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 language | English (US) |
|---|---|
| Pages (from-to) | 63-82 |
| Number of pages | 20 |
| Journal | Algebra Universalis |
| Volume | 16 |
| Issue number | 1 |
| DOIs | |
| State | Published - Dec 1983 |
| Externally published | Yes |
ASJC Scopus subject areas
- Algebra and Number Theory