2 citations · 2 across the 1 of their papers we have counts for
3 papers
Structure theorems for idempotent residuated lattices
José Gil-Férez, Peter Jipsen, George Metcalfe
In this paper we study structural properties of residuated lattices that are idempotent as monoids. We provide descriptions of the totally ordered members of this class and obtain…
Integrally Closed Residuated Lattices
José Gil-Férez, Frederik Lauridsen, George Metcalfe
A residuated lattice is defined to be integrally closed if it satisfies the equations x\x = e and x/x = e. Every integral, cancellative, or divisible residuated lattice is integral…
Join-completions of ordered algebras
José Gil-Férez, Luca Spada, Constantine Tsinakis +1
We present a systematic study of join-extensions and join-completions of ordered algebras, which naturally leads to a refined and simplified treatment of fundamental results and co…