2020/02/16 by Leonardo Manuel Cabrer, Cabrer, Leonardo M., H. A. Priestley +1
Computer Science · Decision Sciences · #06D50 (Secondary) #08C20 (Primary) 03G25 #Advanced Algebra and Logic #FOS: Mathematics #Fuzzy and Soft Set Theory #Rings and Algebras (math.RA) #Rough Sets and Fuzzy Logic
paper · pdf · doi:10.48550/arxiv.2002.06560
openalex publication_date 2020/02/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper fills a gap in the literature on natural duality theory. It concerns dual representations of categories of distributive-lattice-based algebras in which the lattice reducts are not assumed to have bounds. The development of theory to parallel what is known for the exhaustively-studied bounded case was initially driven by need. This arose in connection with a major investigation of Sugihara algebras and Sugihara monoids. The theorems in this paper apply in a systematic way to a range of examples:varieties of Sugihara type; other classes of algebras previously treated ad hoc; and further classes as required.