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math.LO2024
Definability of band structures on posets
Joel Kuperman, Alejandro Petrovich, Pedro Sánchez Terraf
The idempotent semigroups (bands) that give rise to partial orders by defining are the "right-regular" bands (RRB), which are axiomatized by $x\cdot y…
math.LO2015
A duality for (n+1)-valued MV-algebras
Marina Lattanzi, Alejandro Petrovich
MV-algebras were introduced by Chang to prove the completeness of the infinite-valued Lukasiewicz propositional calculus. In this paper we give a categorical equivalence between th…