3 citations · 5 across the 14 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…
Semilinear idempotent distributive l-monoids
Simon Santschi
We prove a representation theorem for totally ordered idempotent monoids via a nested sum construction. Using this representation theorem we obtain a characterization of the subdir…