19 citations · 19 across the 4 of their papers we have counts for
4 papers
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…
Fans in the Theory of Real Semigroups I. Algebraic Theory
Max Dickmann, Alejandro Petrovich
In a previous paper we introduced the notion of a {\it real semigroup} (RS) as an axiomatic framework to study diagonal quadratic forms with arbitrary entries over (commutative, un…
Fans in the Theory of Real Semigroups II. Combinatorial Theory
Mx Dickmann, Alejandro Petrovich
In the paper: Fans in the Theory of Real Semigroups. I. Algebraic Theory (submitted) we introduced the notion of fan in the categories of real semigoups and their dual abstract rea…
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…