3 papers
math.RA2026
Implicit operations in varieties of commutative monoids
Luca Carai, Miriam Kurtzhals, Tommaso Moraschini
An implicit operation of a class of similar algebras is a collection of first order definable partial functions on the members of that is globally preserv…
math.LO2025
Congruence permutability in quasivarieties
Luca Carai, Miriam Kurtzhals, Tommaso Moraschini
It is shown that a natural notion of congruence permutability for quasivarieties already implies ``being a variety''. The result follows immediately from [3] and the sole aim of th…
math.LO2024
On the universal theory of the free pseudocomplemented distributive lattice
Luca Carai, Tommaso Moraschini
It is shown that the universal theory of the free pseudocomplemented distributive lattice is decidable and a recursive axiomatization is presented. This contrasts with the case of…