Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/14896
Title: | Dualities for modal algebras from the point of view of triples |
Author: | Hofmann, Dirk Nora, Pedro |
Keywords: | Boolean algebra Distributive lattice Monad 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 |
URI: | http://hdl.handle.net/10773/14896 |
DOI: | 10.1007/s00012-015-0324-5 |
ISSN: | 0002-5240 |
Appears in Collections: | CIDMA - Artigos AGG - Artigos DMat - Artigos |
Files in This Item:
File | Description | Size | Format | |
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dualmodalg_revised.pdf | article | 411.52 kB | Adobe PDF | View/Open |
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