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Principal congruences of pseudocomplemented distributive lattices. (English) Zbl 0269.06005


MSC:

06D05 Structure and representation theory of distributive lattices
08Axx Algebraic structures
06C15 Complemented lattices, orthocomplemented lattices and posets
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References:

[1] Alan Day, A note on the congruence extension property, Algebra Universalis 1 (1971/72), 234 – 235. · Zbl 0228.08001
[2] George Grätzer, Lattice theory. First concepts and distributive lattices, W. H. Freeman and Co., San Francisco, Calif., 1971. · Zbl 0232.06001
[3] G. Grätzer and H. Lakser, The structure of pseudocomplemented distributive lattices. II. Congruence extension and amalgamation, Trans. Amer. Math. Soc. 156 (1971), 343 – 358. · Zbl 0244.06011
[4] G. Grätzer and H. Lakser, The structure of pseudocomplemented distributive lattices. III. Injective and absolute subretracts, Trans. Amer. Math. Soc. 169 (1972), 475 – 487. · Zbl 0269.06004
[5] G. Grätzer and E. T. Schmidt, On the generalized Boolean algebra generated by a distributive lattice., Nederl. Akad. Wetensch. Proc. Ser. A. 61 = Indag. Math. 20 (1958), 547 – 553. · Zbl 0082.25003
[6] H. Lakser, The structure of pseudocomplemented distributive lattices. I. Subdirect decomposition, Trans. Amer. Math. Soc. 156 (1971), 335 – 342. · Zbl 0244.06010
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