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IGPL
2011
13 years 5 months ago
On representable ordered residuated semigroups
We show that the equational theory of representable lattice-ordered residuated semigroups is not finitely axiomatizable. We apply this result to the problem of completeness of su...
Szabolcs Mikulás
IGPL
2011
13 years 5 months ago
Existentially equivalent cyclic ultrametric spaces and cyclically valued groups
The notions of ultrametric distances and cyclic valuations appear when the set of values of the distance map is a cyclically ordered set. These structures can be described as subsp...
Gérard Leloup
IGPL
2011
13 years 5 months ago
Completion and amalgamation of bounded distributive quasi lattices
In this note we present a completion for the variety of bounded distributive quasi lattices, and, inspired by a well-known idea of L.L. Maksimova [14], we apply this result in prov...
Majid Alizadeh, Antonio Ledda, Hector Freytes