Geodesic
A remark on $\lambda$-regular orthomodular lattices
Applications of Mathematics, Tome 34 (1989) no. 6, pp. 449-452.

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A finite orthomodular lattice in which every maximal Boolean subalgebra (block) has the same cardinality $k$ is called $\lambda$-regular, if each atom is a member of just $\lambda$ blocks. We estimate the minimal number of blocks of $\lambda$-regular orthomodular lattices to be lower than of equal to $\lambda^2$ regardless of $k$.
DOI : 10.21136/AM.1989.104375
Classification : 03G12, 05C65, 06C15
Keywords: Greechie diagram; finite orthomodular lattice; maximal Boolean subalgebra 
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     author = {Rogalewicz, Vladim{\'\i}r},
     title = {A remark on $\lambda$-regular orthomodular lattices},
     journal = {Applications of Mathematics},
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     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1989.104375/}
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Rogalewicz, Vladimír. A remark on $\lambda$-regular orthomodular lattices. Applications of Mathematics, Tome 34 (1989) no. 6, pp. 449-452. doi : 10.21136/AM.1989.104375. http://geodesic.mathdoc.fr/articles/10.21136/AM.1989.104375/

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