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arXiv · 2311.01389

Infinite Atomized Semilattices

Fernando Martin-Maroto·Antonio Ricciardo·David Mendez·Gonzalo G. de Polavieja
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Abstract

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.

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Fernando Martin-Maroto, Antonio Ricciardo, David Mendez, Gonzalo G. de Polavieja. 2023-11-02. Infinite Atomized Semilattices. https://arxiv.org/abs/2311.01389

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