Stone algebra extensions with bounded dense sets

Algebra Universalis

Volumn 37, Issue 1, 1997, Pages 1-23

  Gehrke, M ^a   Walker, C ^a   Walker, E ^a  

^a NEW MEXICO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039924016     PISSN: 00025240     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00000326     Document Type: Article

References (21)

1. BALBES, R. and DWINGER, P., Distributive lattices, University of Missouri Press, 1974.
2. BALBES, R. and HORN, A., Stone lattices, Duke Math. J. 37 (1970), 537-545.
3. CHEN, C. C. and GRÄTZER, G., Stone lattices I. Construction theorems, Canad. J. Math. 21 (1969), 884-894.
4. CHEN, C. C. and GRÄTZER, G., Stone lattices II. Structure theorems, Canad. J. Math. 21 (1969), 895-903.
5. GEHRKE, M. and WALKER, E., Iterated conditionals and symmetric Stone algebras, Discrete Mathematics 148 (1996), 49-63.
6. GEHRKE, M. and WALKER, E., The structure of rough sets, Bull. Pol. Acad. Sci. Math. 40 (1992), 235-245.
7. GOODMAN, I., NGUYEN, H. and WALKER, E., Conditional Inference and Logic for Intelligent Systems, North-Holland, Amsterdam, 1991.
8. GRÄTZER, G., General Lattice Theory, Birkhäuser Verlag, Basel, 1978.
9. GRÄTZER, G. and SCHMIDT, E. T., On a problem of M. H. Stone, Acta Math. Acad. Sci. Hungar. 8 (1957), 455-460.
10. KATRIŇÁK, T., A new proof of the construction theorem for Stone algebras, Proc. Amer. Math. Soc. 40 (1973), 75-78.
11. KATRIŇÁK, T., Die Kennzeichnung der Distributiven Pseudokomplementären Halbverbände, J. Reine Angew. Math. 241 (1970), 160-179.
12. KATRIŇÁK, T., Über die Konstruktion der Distributiven Pseudocomplementären Verbände, Math. Nachr. 53 (1972), 85-99.
13. KATRIŇÁK, T., Injective double Stone algebras. Alg. Univ. 4 (1974), 259-267.
14. KATRIŇÁK, T., and MEDERLY, P., Constructions of p-Algebras, Algebra Universalis 17 (1983), 288-316.
15. KÖHLER, P., The triple method and free distributive pseudocomplemented lattices, Alg. Univ. 8 (1978), 139-150.
16. McKENZIE, R., McNULTY, G. and TAYLOR, W., Algebras, Lattices, Varieties, Volume I, Wadsworth & Brooks/Cole, 1986.
17. NGUYEN, H., Intervals in Boolean algebras: approximation and logic, in Foundations of Computing and Decision Sciences, vol. 17, no. 3, 1993.
18. PAWLAK, Rough sets, Internat. J. Inform. Sci. 11 (5) (1982), 341-356.
19. PRIESTLEY, H. A., Stone lattices: a topological approach, Fund. Math. 84 (1974), 127-143.
20. SCHMIDT, J., Quasi-Decompositions, Exact Sequences, and Triple Sums of Semi-groups I. General Theory, Colloquia Mathematica Societatis János Bolyai 17. Contributions to Universal Algebra, Szeged, Hungary (1975), 365-397.
21. WALKER, E., Symmetric Stone Algebras, Conditional Events, and Three-valued Logic, in IEEE Transactions on Man, Systems, and Cybernetics, vol. 24, no. 12, December 1994.