Abstract
If a class of algebras are characterized by diagrams in a category of dualizable algebras, diagrammatic duality provides dual representing objects in terms of corresponding dual diagrams appearing in the dual category of representation spaces for the dualizable algebras. The general technique is illustrated by a selection of examples, including quasigroups, bilattices, and Nelson algebras.
The first author’s research was supported by the Warsaw University of Technology under grant number 504P 1120 0064 000l.
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Romanowska, A.B., Smith, J.D. (2018). Diagrammatic duality. In: Czelakowski, J. (eds) Don Pigozzi on Abstract Algebraic Logic, Universal Algebra, and Computer Science. Outstanding Contributions to Logic, vol 16. Springer, Cham. https://doi.org/10.1007/978-3-319-74772-9_11
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