Duality theory for lattice-ordered algebras: the present, the past, and the future
by
Hilary Priestley
Oxford University

From the perspective of an introverted algebraist, dualities for varieties and quasivarieties provide a valuable tool for solving algebraic problems. But this perspective does not give due weight to the interdisciplinary nature of duality and the ways in which duality theory's connections with logic and computer science have enriched it and contributed to its development. This talk will give an outline survey of points of contact between various approaches to the representation of lattice-ordered algebras and to algebraic and relational semantics for non-classical logics. In particular, bounded lattice extensions will be looked at from a duality angle. [Recent major advances made by Mai Gehrke and Bjarni Jónsson in the theory of canonical extensions will be described in Bjarni's Jónsson's talk; details can be found in his abstract.]

Date received: April 29, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cajl-03.