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Finite sublattices generated by order-isomorphic subsets. (English) Zbl 0287.06001


MSC:

06B05 Structure theory of lattices
06D05 Structure and representation theory of distributive lattices
Full Text: DOI

References:

[1] K. A. Baker, Equational axioms for classes of lattices. Bull. Amer. Math. Soc.77, 97-102 (1971). · Zbl 0209.31901 · doi:10.1090/S0002-9904-1971-12618-6
[2] K. A. Baker andA. W. Hales, Distributive projective lattices. Canad. J. Math.22, 472-475 (1970). · Zbl 0203.31003 · doi:10.4153/CJM-1970-054-0
[3] R. Balbes andA. Horn, Projeetive distributive lattices. Pacific J. Math.33, 273-279 (1970). · Zbl 0185.03602
[4] G.Birkhoff, Lattice Theory. 3rd. ed., Providence 1967.
[5] D.Kelly andI. Rival, Crowns, fences, and dismantlable lattices. Preprint. · Zbl 0271.06003
[6] F. Galvin andB. J?nsson, Distributive sublattices of free lattices. Canad. J. Math.13, 265-272 (1961). · Zbl 0132.26202 · doi:10.4153/CJM-1961-022-8
[7] H. Gaskill, On the relationship of a distributive lattice to its lattice of ideals. Bull. Austral. Math. Soc.7, 377-385 (1972). · Zbl 0242.06007 · doi:10.1017/S0004972700045226
[8] G.Gr?tzer, Universal Algebra. In: Trends in Lattice Theory. New York 1970.
[9] G. Gr?tzer andB. W?lk, Finite projeetive distributive lattices. Canad. Math. Bull.13, 139-140 (1970). · Zbl 0197.29003 · doi:10.4153/CMB-1970-030-0
[10] P. M. Whitman, Free lattices I. Ann. of Math. (2) 42, 325-330 (1941). · Zbl 0024.24501 · doi:10.2307/1969001
[11] R.Wille, Modular lattices of order dimension 2. Preprint. · Zbl 0288.06011
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