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Compactable semilattices

2010/03/09 by Mark V. Lawson, Mark V Lawson, Lawson, Mark V
Computer Science · Decision Sciences · Mathematics · #Advanced Algebra and Logic #FOS: Mathematics #Fuzzy and Soft Set Theory #General Mathematics (math.GM) #math.GM #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1003.1925

arxiv created 2010/03/09 · openalex publication_date 2010/03/09 · arxiv updated 2010/03/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We characterize those semilattices that give rise to Boolean spaces on their associated spaces of ultrafilters. The class of 0-disjunctive semilattices, important in the theory of congruence-free inverse semigroups, plays a distinguished role in this theory.

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