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Strongness in semimodular lattices

✍ Scribed by Manfred Stern

Publisher: Elsevier Science
Year: 1990
Tongue: English
Weight: 478 KB
Volume: 82
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(90)90046-k

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✦ Synopsis

Faigle coined the notion of a strong lattice by singling out a property common to the join-irreducibles of a finite modular lattice and to the atoms of a geometric lattice. Many properties of both these classes of lattices carry over to strong semimodular lattices of finite length. Here we give a new characterization for a semimodular lattice of finite length to be strong.

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