2023/11/02 by Fernando Martín-Maroto, Antonio Ricciardo, Martin-Maroto, Fernando +5
Computer Science · #06A12 #08B20 #08B26 #Advanced Algebra and Logic #Commutative Algebra (math.AC) #FOS: Mathematics #Rings and Algebras (math.RA) #Rough Sets and Fuzzy Logic #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.2311.01389
openalex publication_date 2023/11/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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, focusing on complete and finitely generated semilattices and show that for finitely generated semilattices, atomizations consisting exclusively of non-redundant atoms always exist.