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math.RA2026
Residuated lattices do not have the amalgamation property
Peter Jipsen, Simon Santschi
We show that the variety of residuated lattices does not have the amalgamation property, thereby settling a long-standing open problem. In addition, we show that the amalgamation p…
math.RA2025
Axiomatizing small varieties of periodic l-pregroups
Nikolaos Galatos, Simon Santschi
We provide an axiomatization for the variety generated by the -periodic l-pregroup , for every , as well as for all possible joins…
math.RA2024
Amalgamation in Semilinear Residuated Lattices
Wesley Fussner, Simon Santschi
We survey the state of the art on amalgamation in varieties of semilinear residuated lattices. Our discussion emphasizes two prominent cases from which much insight into the genera…