论文信息 - Topological duality for distributive Ockham algebras

Topological duality for distributive Ockham algebras

In this note, we give a representation of distributive Ockham algebras via natural hom-functors. In order to do this, we describe two different structures (one algebraic, and the other order-topological) on the set of subsets of the natural numbers. The topological duality previously obtained by A. Urquhart is used throughout.

M. Goldberg | Moshe S. Goldberg

[1] Distributive Ockham algebras: free algebras and injectivity , 1981, Bulletin of the Australian Mathematical Society.

[2] Hilary A. Priestley,et al. Representation of Distributive Lattices by means of ordered Stone Spaces , 1970 .

[3] Joel Berman,et al. Distributive lattices with an additional unary operation , 1977 .

[4] H. Rasiowa. An Algebraic Approach To Non Classical Logics , 1974 .

[5] Alasdair Urquhart. Distributive lattices with a dual homomorphic operation. II , 1979 .

[6] Klaus Keimel,et al. A general character theory for partially ordered sets and lattices , 1972 .

[7] Hilary A. Priestley,et al. Ordered Topological Spaces and the Representation of Distributive Lattices , 1972 .

[8] Brian A. Davey. Dualities for equational classes of Brouwerian algebras and Heyting algebras , 1976 .

[9] Dualities for Stone algebras, double Stone algebras, and relative Stone algebras , 1982 .

[10] P. Freyd,et al. Algebra valued functors in general and tensor products in particular , 1966 .