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A Finitely Generated Modular Ortholattice

Published online by Cambridge University Press:  20 November 2018

Gunter Bruns  and
Michael Roddy
Gunter Bruns
Affiliation:
Department of Mathematics and Statistics McMaster University Hamilton, Ontario L8S 4K1
Michael Roddy
Affiliation:
Department of Mathematics and Computer Science Brandon University Brandon, Manitoba R7A 6A9
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Abstract

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We discuss [2] of the same title and offer an alternative example. This example is a subalgebra of the ortholattice of closed subspaces of separable real Hilbert space.

Keywords

06C15
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 35 , Issue 1 , 01 March 1992 , pp. 29 - 33
Copyright
Copyright © Canadian Mathematical Society 1992

References

1. Day, A. and Herrman, C., and Wille, R., On modular lattices with four generators, Algebra Universalis 2(1972),317–323.Google Scholar
2. Herrman, C., A finitely generated modular ortholattice, Canadian Math. Bull. 24(1981), 241–243.Google Scholar
3. Herrman, C., A parameter for subdirectly irreducible modular lattices with four generators, Acta Sci. Math. 43(1981),169–179.Google Scholar
4. Herrman, C., Rahmen und erzeugende quadrupel in modularen verbanden, Algebra Universalis 14( 1982), 357– 387.Google Scholar
5. Kalmbach, G., Orthomodular Lattices, Academic Press, 1983.Google Scholar