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arXiv · 2002.06560

Piggybacking over unbounded distributive lattices

Leonardo M. Cabrer·Hilary A. Priestley
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Abstract

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.

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Leonardo M. Cabrer, Hilary A. Priestley. 2020-02-16. Piggybacking over unbounded distributive lattices. https://arxiv.org/abs/2002.06560

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