The best extending cover-preserving geometric lattices of semimodular lattices

DOI10.1007/s10114-023-1531-1arXiv1908.00749OpenAlexW2966324383MaRDI QIDQ6073883

Peng He, Xue-ping Wang

Publication date: 18 September 2023

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.00749

zbMATH Keywords

semimodular latticegeometric latticecover-preserving embeddingfinite atomistic lattice

Mathematics Subject Classification ID

Representation theory of lattices (06B15) Semimodular lattices, geometric lattices (06C10)

Cites Work

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• A construction of semimodular lattices
• Every finite lattice can be embedded in a finite partition lattice
• A characterization of a semimodular lattice
• A cover-preserving embedding of semimodular lattices into geometric lattices
• Lattice Theory: Special Topics and Applications

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