3 papers
math.RA2025
The pairwise distributive law of semilattice congruences
Fernando Martin-Maroto, Antonio Ricciardo, Gonzalo G. de Polavieja
We show that the congruence lattice of a semilattice satsifies a form of distributivity relative to principal congruences of the form . Particularly, we establis…
math.AC2023
Infinite Atomized Semilattices
Fernando Martin-Maroto, Antonio Ricciardo, David Mendez +1
We extend the theory of atomized semilattices to the infinite setting. We show that it is well-defined and that every semilattice is atomizable. We also study atom redundancy, focu…
math.QA2017
Classification of simple linearly compact Kantor triple systems over the complex numbers
Nicoletta Cantarini, Antonio Ricciardo, Andrea Santi
Simple finite dimensional Kantor triple systems over the complex numbers are classified in terms of Satake diagrams. We prove that every simple and linearly compact Kantor triple s…