References
Baer, R.,A unified theory of projective spaces and finite abelian groups, Transactions A.M.S.52 (1942), 283–343.
Bennet, M. K.,Biatomic lattices, Algebra Universalis24 (1987), 60–73.
Benson, D. J. andConway, J. H.,Diagrams for modular lattices, J. Pure and Applied Algebra37 (1985), 111–116.
Buekenhout, F.,What is a subspace? In: P. J. Cameron (ed),Combinatorial Surveys, p. 1–22, Academic Press, London 1977.
Cohn, P. M.,Skew Field Constructions (LMS Lecture Note Series 27), Cambridge University Press, Cambridge 1977.
Crawley, P. andDilworth, R. P.,Algebraic Theory of Lattices, Prentice Hall, Englewood Cliffs 1973.
Duquenne, V.,On the core of finite lattices, Discr. Math.88 (1991), 133–147.
Faigle, U.,Frink's theorem for modular lattices, Arch. Math.39 (1981), 173–182.
Faigle, U. andHerrmann, C.,Projective geometry on partially ordered sets, Transactions A.M.S.266 (1981), 267–291.
Freese, R.,Ideal lattices of lattices, Pac. J. Math.57 (1975), 125–133.
Ganter, B., Poguntke, W. andWille, R.,Finite sublattices of four-generated modular lattices, Algebra Universalis12 (1981), 160–171.
Grätzer, G.,Equational classes of lattices, Duke Math. J.33 (1966), 613–622.
Herrmann, C. undHuhn, A. P.,Zum Wortproblem fuer freie Untermodulverbaende, Arch. Math.26 (1975) 449–453.
Herrmann, C. andWild, M.,Acyclic modular lattices and their representations, J. Algebra136 (1991), no. 1, 17–36.
Huhn, A. P.,Two notes on n-distributive lattices, Coll. Math. Soc. J. Bolyai 14, Lattice Theory Conf. Szeged 1974, A. P. Huhn and E. T. Schmidt ed., p. 137–147, Budapest 1976.
Hutchinson, G. andCzédli, G.,A test for identities satisfied in lattices of submodules, Algebra Universalis8 (1978), 269–309.
Johnstone, P.,Stone Spaces, Cambridge University Press, Cambridge 1982.
Jónsson, B.,Equational classes of lattices, Math. Scand.22 (1968), 187–196.
Jónsson, B. andNation, J. B.,Representation of 2-distributive modular lattices of finite height, Acta Sci. Math.51 (1987), 123–128.
Kurinnoi, G. Ch.,Condition for isomorphism of finite modular lattices (in Russian), Vestnik Har'kov Univ. Mat. Meh.40 (1975), 45–47.
Wille, R.,On modular lattices generated by finite chains, Algebra Universalis3 (1973), 131–138.
Author information
Authors and Affiliations
Additional information
Dedicated to Bjarni Jónsson on his 70th birthday
Supported by NSERC Operating Grant A7884
Supported by NSERC Operating Grant 41702
Rights and permissions
About this article
Cite this article
Herrmann, C., Pickering, D. & Roddy, M. A geometric description of modular lattices. Algebra Universalis 31, 365–396 (1994). https://doi.org/10.1007/BF01221792
Issue Date:
DOI: https://doi.org/10.1007/BF01221792