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A Finitely Generated Modular Ortholattice
Published online by Cambridge University Press: 20 November 2018
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By an ortholattice we mean a lattice with 0 and 1 and a complementation operation which is an involutorial antiautomorphism. The free modular ortholattice on two generators has 96 elements—cf. J. Kotas [8].
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- Copyright © Canadian Mathematical Society 1981
References
1.
Amemiya, I. and Halperin, I., Completed modular lattices, Canad. J. Math. 11 (1959), 481-520.Google Scholar
3.
Day, A., Herrman, C., and Wille, R., On modular lattices with four generators, Algebra Universalis. 2 (1972), 317-323.Google Scholar
4.
Gel'fand, I. M. and Ponomarev, V. A., Problems of linear algebra and classification of quadruples of subspaces in a finite dimensional vector space,
Coll. Math. J. Bolyai, 5, Hilbert Space Operators, Tihany 1970; -Nagy, B.Sz. (ed), North-Holland, Amsterdam, 1972, 163-237.Google Scholar
5.
Herrmann, C., On the equational theory of submodule lattices,
Proc. Univ. of Huston Lattice Theory Conf.
1973, 105-108.Google Scholar
6.
Kaplansky, I., Any orthocomplemented complete modular lattice is a continuous geometry, Ann. of Math.. 61 (1955), 524-541.Google Scholar
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