References
Crawly, P. andDilworth, R. P.,Algebraic Theory of Lattices. Prentice-Hall Inc., Englewood Hills, N.J., 1973.
Day, A., Geometrical applications of modular lattices. In:Lecture Notes in Mathematics, Vol. 1004, Universal Algebra and Lattice Theory, Edited by R. S. Freese and O. C. Garcia, Springer Verlag, Berlin, 1983, pp. 111–141.
Day, A. andJežek, J.,The amalgamation property for varieties of lattices. Mathematics Report #1-83, Lakehead University.
Freese, R.,The variety of modular lattices is not generated by its finite members. Trans. Amer. Math. Soc.255 (1979), 277–300.
Fried, E. andGrätzer, G.,Pasting and modular lattices. Proc. Amer. Math. Soc.106 (1989).
Grätzer, G.,General Lattice Theory. Pure and Applied Mathematics series, Academic Press, New York, N.Y., 1978; Birkhäuser Verlag, Matematische Reihe, Band 52, Basel, 1978.
Grätzer, G. andKelly, D.,Products of lattice varieties. Algebra Universalis21 (1985), 33–45.
Grätzer, G. andKelly, D.,The lattice variety D. D. Acta Sci. Math. (Szeged)51 (1987), 73–80. Addendum.
Herrmann, C. andHuhn, A. P.,Zum Begriff der Charakteristik modularer Verbände. Math. Z.144 (1975), 185–194.
Hutchinson, G. andCzédli, G.,A test for identities satisfied in lattices of submodules. Algebra Universalis8 (1978), 269–309.
Slavik, A.,A note on the amalgamation property in lattice varieties. Comm. Math. Univ. Carolinae21 (1980), 473–478.
von Neumann, J.,Continuous Geometry, Princeton Mathematical Series, Princeton University Press, Princeton, N.J., 1960.
Author information
Authors and Affiliations
Additional information
The research of all the authors was supported by the NSERC of Canada.
Rights and permissions
About this article
Cite this article
Fried, E., Grätzer, G. & Lakser, H. Projective geometries as cover-preserving sublattices. Algebra Universalis 27, 270–278 (1990). https://doi.org/10.1007/BF01182460
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01182460