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Paper detail

2-distributivity and lattices of sublattices closed under taking relative complements

For a modular lattice $L$ of finite length, we prove that the distributivity of $L$ is a sufficient condition while its 2-distributivity is a necessary condition that those sublattices of $L$ that are closed under taking relative complements form a ranked lattice of finite length.

preprint2022arXivOpen access
Gábor Czédli
math.RA
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Gábor Czédli

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