Lattice-ordered pregroups are semi-distributive

DOI10.1007/s00012-020-00703-4zbMath1498.06034OpenAlexW3121379128MaRDI QIDQ1996094

Adam Přenosil, Peter Jipsen, Nikolaos Galatos, Michael K. Kinyon

Publication date: 3 March 2021

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00012-020-00703-4

zbMATH Keywords

residuated latticespregroups\(\ell\)-pregroups

Mathematics Subject Classification ID

Ordered semigroups and monoids (06F05)

Cites Work

• Residuated lattices. An algebraic glimpse at substructural logics
• Periodic lattice-ordered pregroups are distributive
• Generalized MV-algebras
• Some lattice models of bilinear logic
• Type logics and pregroups
• Type grammars as pregroups
• 3-3 lattice inclusions imply congruence modularity
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