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On the Order Complex of a Prelattice

✍ Scribed by Yoav Segev

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 215 KB
Volume: 18
Category: Article
ISSN: 0195-6698
DOI: 10.1006/eujc.1995.0078

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✦ Synopsis

In this note a prelattice L is a poset ( ϭ partially ordered set) ( L , р ) such that L ϭ L ʜ ͕ 0 , 1 ͖ is a lattice , where 0 and 1 are two new elements such that 0 Ͻ x Ͻ 1 , for all x L (see Definition 2 . 1) .

Let L be a finite prelattice . The main result in this note is closely related to a recent result of Andreas Blass and Bruce Sagan [2] on the Mo ¨ bius function of L . In [2] , Blass

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