Bounded distributive lattice expansions

Mathematica Scandinavica

Volumn 94, Issue 1, 2004, Pages 13-45

  Gehrke, Mai ^a   Jónsson, Bjarni ^b  

^a NEW MEXICO STATE UNIVERSITY   (United States)

^b VANDERBILT UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1942539778     PISSN: 00255521     EISSN: None     Source Type: Journal    
DOI: 10.7146/math.scand.a-14428     Document Type: Article

References (23)

1. Balbes, R., and Dwinger, Ph., Distributive Lattices, Missouri University Press, 1974.
2. Banaschewski, B., Coherent frames, in Proceedings of the Conference on Topological and Categorical Aspects of Continuous Lattices (Workshop IV, 1979). Edited by B. Banaschewski and R. E. Hoffmann. Lecture Notes in Math. 871 (1981), 1-11.
3. Birkhoff, G., Lattice Theory, fourth edition, Amer. Math. Soc. Coll. Publ. vol. 25, 1967.
4. Burris, S., and Sankappanavar, H. P., A Course in Universal Algebra, Graduate Texts in Math., vol. 78, 1981.
5. Engelking, R., General Topology, Polish Scientific Publishers, Warsaw, 1977.
6. D-separation axiom, Z. Math. Logik Grundlag. Math. 37 (1991), 5-15.
7. Gehrke, M., and Harding, J., Bounded Lattice Expansions, J. Algebra 238 (2001), 345-371.
8. Gehrke, M., and Jónsson, B., Bounded distributive lattices with operators, Math. Japon. 40 (1994), 207-215.
9. Gehrke, M., and Jónsson, B., Monotone bounded distributive lattice expansions, Math. Japon. 52 (2000), 197-213.
10. Gehrke, M., and Priestley, H. A., Non-canonicity of MV-algebras, Houston J. Math. 28 (2002), 449-455.
11. Gierz, G., Hofmann K. H., Keimel, K., Lawson, J. D., Mislove, M., and Scott, D. S., A Compendium of Continuous Lattices, Springer-Verlag, 1980.
12. Goldblatt, R., Varieties of complex algebras, Ann. Pure Appl. Logic 44 (1989), 173-242.
13. Jónsson, B., On the canonicity of Sahlqvist identities, Studia Logica 53 (1994), 473-491.
14. Jónsson, B., Congruence distributive varieties, Math. Japon. 42 (1995), 353-401.
15. Jónsson, B., and Tarski, A., Boolean algebras with operators, I, Amer. J. Math. 73 (1951), 891-939.
16. Jónsson, B., and Tarski, A., Boolean algebras with operators, II, Amer. J. Math. 74 (1952), 127-162.
17. Kramer, R., and Maddux, R., Equations not preserved by complete extensions, Algebra Universalis 15 (1982), 86-89.
18. Priestley, H. A., Representations of distributive lattices by means of ordered topological spaces, Bull. London Math. Soc. 2 (1970), 186-190.
19. Priestley, H. A., Intrinsic spectral topologies, Papers on General Topology and Applications (Flushing, NY, 1992), 78-95, Ann. New York Acad. Sci. 728 (1994).
20. Priestley, H. A., Varieties of distributive lattices with unary operations, I, J. Austral. Math. Soc. 63 (1997), 165-207.
21. Ribeiro, H., A remark on Boolean algebras with operators. Amer. J. Math. 74, 163-167.
22. Sofronie-Stokkermans, V., Duality and canonical extensions of bounded distributive lattices with operators, and applications to the semantics of non-classical logics, I, II, Studia Logica 64 (1999), 93-132 and 151-172.
23. Stone, M. H., Topological representations of distributive lattices and Browerian logics, Casopis pest. Mat. 67 (1937), 1-25.