Piggybacking over unbounded distributive lattices
Rings and Algebras
2020-02-18 v1
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.
Cite
@article{arxiv.2002.06560,
title = {Piggybacking over unbounded distributive lattices},
author = {Leonardo M. Cabrer and Hilary A. Priestley},
journal= {arXiv preprint arXiv:2002.06560},
year = {2020}
}