2 papers
math.AC2025
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.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 establi…