Lattice-ordered Pregroups are Semi-distributive

Authors

Nikolaos Galatos, University of Denver
Peter Jipsen, Chapman UniversityFollow
Michael Kinyon, University of Denver
Adam Přenosil, Vanderbilt University

Document Type

Article

Publication Date

1-20-2021

Abstract

We prove that the lattice reduct of every lattice-ordered pregroup is semidistributive. This is a consequence of a certain weak form of the distributive law which holds in lattice-ordered pregroups.

Comments

This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Algebra Universalis, volume 82, in 2021 following peer review. The final publication may differ and is available at Springer via https://doi.org/10.1007/s00012-020-00703-4

A free-to-read copy of the final published article is available here

Recommended Citation

Galatos, N., Jipsen, P., Kinyon, M., Přenosil, A.: Lattice-ordered pregroups are semi-distributive. Algebra Univers. 82, 16 (2021). https://doi.org/10.1007/s00012-020-00703-4

Peer Reviewed

1

Copyright

Springer