3 papers
math.RA2024
Varieties of MV-monoids and positive MV-algebras
Marco Abbadini, Paolo Aglianò, Stefano Fioravanti
MV-monoids are algebras where is a bounded distributive lattice, both $\langle A, \oplus, 0…
math.LO2021
Strictly join irreducible varieties of residuated lattices
Paolo Aglianò, Sara Ugolini
We study (strictly) join irreducible varieties in the lattice of subvarieties of residuated lattices. We explore the connections with well-connected algebras and suitable generaliz…
math.LO2020
Varieties of Bounded K-lattices
Paolo Aglianò, Miguel Andrès Marcos
In this paper we continue to study varieties of K-lattices, focusing on their bounded versions. These (bounded) commutative residuated lattices arise from a specific kind of constr…