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


MSC:

06D30 De Morgan algebras, Łukasiewicz algebras (lattice-theoretic aspects)
06D05 Structure and representation theory of distributive lattices
06F30 Ordered topological structures
03G10 Logical aspects of lattices and related structures
08B05 Equational logic, Mal’tsev conditions
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References:

[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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