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

2022/01/06 by Gábor Czédli, Czédli, Gábor
Computer Science · #06C99 #06D99 #Advanced Algebra and Logic #FOS: Mathematics #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2201.02189

openalex publication_date 2022/01/06 · openalex created_date 2022/04/03 · openalex updated_date 2026/07/28

Abstract

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.

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