References
K. Baker,Equational classes of modular lattices. Pacific J. Math.28 (1969), 9–15.
J. Berman,Sublattices of intervals in relatively free lattices, Algebra Universalis2 (1972), 174–176.
R. Freese,The variety of modular lattices is not generated by its finite members, Trans. Amer. Math. Soc.255 (1979), 277–300.
G. Gratzer,A note on the amalgamation property, Notices Amer. Math. Soc.22 (1975), A-453.
G. Grätzer,On the amalgamation property, Notices Amer. Math. Soc.23 (1976), A-268.
G. Grätzer,General Lattice Theory, Birkhäuser Verlag, 1978.
G. Grätzer, B. Jónsson andH. Lakser,The amalgamation property in equational classes of modular lattices, Pacific J. Math.45 (1973), 507–524.
G. Grätzer andD. Kelly,On the product of lattice varieties, Notices Amer. Math. Soc.24 (1977), A-526.
G. Grätzer andD. Kelly,On the product of lattice varieties. II, Notices Amer. Math. Soc.25 (1978), A-226.
G. Grätzer andH. Lakser,The structure of pseudocomplemented distributive lattices. II: Congruence extension and amalgamation, Trans. Amer. Math. Soc.156 (1971), 343–358.
G. Grätzer andJ. Sichler,Free decompositions of a lattice, Canad. J. Math.27 (1975), 276–285.
B. Jónsson,Extensions of relational structures, in 1963 Symp. At Univ. of Calif., Berkeley, North Holland, 1965, 146–157.
B. Jónsson,Sublattices of a free lattice, Canad. J. Math.13 (1961), 256–264.
B. Jónsson,Algebras whose congruence lattices are distributive, Math. Scand.21 (1967), 110–121.
B. Jónsson,Relatively free products of lattices, Algebra Universalis1 (1972), 362–373.
B. Jónsson,Varieties of lattices: Some open problems. Colloq. Math. Soc. Janos Bolyai, to appear.
B. Jónsson andI. Rival,Lattice varieties covering the smallest non-modular variety, Pacific J. Math., to appear.
R. McKenzie,Equational bases for lattice theories, Math. Scand.27 (1970), 24–38.
R. McKenzie,Equational bases and nonmodular lattice varieties, Trans. Amer. Math. Soc.174 (1972), 1–43.
R. Wille,Primitive subsets of lattices, Algebra Universalis,2 (1972), 95–98.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Berman, J. Interval lattices and the amalgamation property. Algebra Universalis 12, 360–375 (1981). https://doi.org/10.1007/BF02483896
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF02483896