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Semimodular lattices and the Hall-Dilworth gluing construction

Acta Mathematica Hungarica
Volume/Issue:
Volume 127: Issue 3
DOI:
https://doi.org/10.1007/s10474-010-9120-z
Author: E. Schmid

Abstract  

We present a new gluing construction for semimodular lattices, related to the Hall-Dilworth construction

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How to derive finite semimodular lattices from distributive lattices?

Acta Mathematica Hungarica
Volume/Issue:
Volume 121: Issue 3
DOI:
https://doi.org/10.1007/s10474-008-7199-2
Authors: G. Czédli and E. Schmidt

Abstract  

It is proved that the class of finite semimodular lattices is the same as the class of cover-preserving join-homomorphic images of direct products of finitely many finite chains.

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