Cover preserving embedding of modular lattices into partition lattices
type: Item
instance of: scholarly article
title: Cover preserving embedding of modular lattices into partition lattices
zbMATH Open document ID: 0808.06009
DOI: 10.1016/0012-365X(93)90235-L
author: Marcel Wild
published in: Discrete Mathematics
publication date: 1993-08-30T00:00:00Z
review text: Modular lattices with a cover-preserving embedding into partition lattices may not contain projective planes nor projective lines of order greater than 2 as sublattices. For such lattices, the description in terms of the ordered partial linear space of join irreducibles is turned into an effective tool for structural analysis, and necessary resp. sufficient conditions for embeddability are given which come close to a characterization.
reviewed by: Christian Herrmann
Mathematics Subject Classification ID: 06C05
zbMATH DE Number: 179599
zbMATH Keywords: modular lattice
zbMATH Keywords: cover-preserving embedding
zbMATH Keywords: partition lattices
zbMATH Keywords: ordered partial linear space of join irreducibles
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 179599