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Distributive lattices with a dual homomorphic operation. (English) Zbl 0425.06008

06D30 De Morgan algebras, Łukasiewicz algebras (lattice-theoretic aspects)
06D05 Structure and representation theory of distributive lattices
06F30 Ordered topological structures (aspects of ordered structures)
03G10 Logical aspects of lattices and related structures
08B05 Equational logic, Mal’tsev conditions
Full Text: DOI
[1] J. Berman, Distributive lattices with an additional unary operation, Preprint. · Zbl 0395.06007
[2] J. Berman and P. Dwinger, De Morgan algebras: free products and free algebras, Preprint.
[3] G. Grätzer, Lattice theory, Freeman and Co., San Francisco (1971).
[4] P. Halmos, Lectures on Boolean algebras, Van Nostrand, Princeton (1963). · Zbl 0114.01603
[5] W. Kneale and M. Kneale, The Development of logic, Oxford University Press, Oxford (1962). · Zbl 0100.00807
[6] H. Priestley, Representation of distributive lattices by means of ordered Stone spaces, The Bulletin of the London Mathematical Society 2 (1970), 186-190. · Zbl 0201.01802 · doi:10.1112/blms/2.2.186
[7] H. Rasiowa, An algebraic approach to non-classical logics, North-Holland, Amsterdam (1974). · Zbl 0299.02069
[8] A. R. Anderson and N. D. Belnap Jr., Entailment, Princeton University Press, 1975.
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