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Title: Dualities for modal algebras from the point of view of triples
Author: Hofmann, Dirk
Nora, Pedro
Keywords: Boolean algebra
Distributive lattice
Kleisli construction
Dual equivalence
Stone space
Spectral space
Vietoris functor
Tensor product
Issue Date: 2015
Publisher: Springer Verlag
Abstract: In this paper we show how the theory of monads can be used to deduce in a uniform manner several duality theorems involving categories of relations on one side and categories of algebras with homomorphisms preserving only some operations on the other. Furthermore, we investigate the monoidal structure induced by Cartesian product on the relational side and show that in some cases the corresponding operation on the algebraic side represents bimorphisms.
Peer review: yes
DOI: 10.1007/s00012-015-0324-5
ISSN: 0002-5240
Appears in Collections:CIDMA - Artigos
AGG - Artigos

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