Document Type

Article

Publication Date

2017

Abstract

We characterise quasivarieties and varieties of ordered algebras categorically in terms of regularity, exactness and the existence of a suitable generator. The notions of regularity and exactness need to be understood in the sense of category theory enriched over posets.

We also prove that finitary varieties of ordered algebras are cocompletions of their theories under sifted colimits (again, in the enriched sense).

Comments

This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Mathematical Structures in Computer Science, volume27, number 7, in 2017 following peer review. The definitive publisher-authenticated version is available online at DOI: 10.1017/S096012951500050X.

Copyright

Cambridge University Press

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