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Natural dualities through product representations: bilattices and beyond
Leonardo Cabrer, Hilary Priestley
This paper focuses on natural dualities for varieties of bilattice-based algebras.Such varieties have been widely studied as semantic models in situations where information is inco…
Bohr compactifications of algebras and structures
B. A. Davey, M. Haviar, H. A. Priestley
This paper provides a unifying framework for a range of categorical constructions characterised by universal mapping properties, within the realm of compactifications of discrete s…
A general framework for product representations: bilattices and beyond
L. M. Cabrer, H. A. Priestley
This paper studies algebras arising as algebraic semantics for logics used to model reasoning with incomplete or inconsistent information. In particular we study, in a uniform way,…
Piggyback dualities revisited
B. A. Davey, M. Haviar, H. A. Priestley
In natural duality theory, the piggybacking technique is a valuable tool for constructing dualities. As originally devised by Davey and Werner, and extended by Davey and Priestley,…