2 papers
math.LO2024
Free algebras and coproducts in varieties of Gödel algebras
Luca Carai
Gödel algebras are the Heyting algebras satisfying the axiom . We utilize Priestley and Esakia dualities to dually describe free Gödel algebras and copr…
math.RA2023
Baker-Beynon duality beyond semisimplicity
Luca Carai, Serafina Lapenta, Luca Spada
Combining tools from category theory, model theory, and non-standard analysis we extend Baker-Beynon dualities to the classes of all Abelian -groups and all Riesz spaces (als…