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On the existence of prime ideals in semidistributive lattices. (English) Zbl 0516.06006

MSC:
06B10 Lattice ideals, congruence relations
06D05 Structure and representation theory of distributive lattices
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References:
[1] G. Gr?tzer,General lattice theory, Akademie-Verlag, Berlin, 1978.
[2] B. J?nsson,Sublattices of a free lattice, Can. J. Math.,13 (1961), 256-264. · Zbl 0132.26201 · doi:10.4153/CJM-1961-021-0
[3] R. McKenzie,Equational bases and nonmodular lattice varieties, Trans. Amer. Math. Soc,174 (1972), 1-43. · Zbl 0265.08006 · doi:10.1090/S0002-9947-1972-0313141-1
[4] W. Poguntke,A note on semidistributive lattices, Algebra Univers., 9 (1979), 398-399. · Zbl 0423.06005 · doi:10.1007/BF02488053
[5] P. Whitman,Free lattices, Ann. Math.,42 (1941), 325-330. · Zbl 0024.24501 · doi:10.2307/1969001
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