A remark on $\lambda$-regular orthomodular lattices
Rogalewicz, Vladimír
Applications of Mathematics, Tome 34 (1989), p. 449-452 / Harvested from Czech Digital Mathematics Library
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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 $k$.

Publié le : 1989-01-01
Classification:  03G12,  05C65,  06C15 
@article{104375,
     author = {Vladim\'\i r Rogalewicz},
     title = {A remark on $\lambda$-regular orthomodular lattices},
     journal = {Applications of Mathematics},
     volume = {34},
     year = {1989},
     pages = {449-452},
     zbl = {0689.06008},
     mrnumber = {1026509},
     language = {en},
     url = {http://dml.mathdoc.fr/item/104375}
}

Rogalewicz, Vladimír. A remark on $\lambda$-regular orthomodular lattices. Applications of Mathematics, Tome 34 (1989) pp. 449-452. http://gdmltest.u-ga.fr/item/104375/

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