Edgewise Cohen-Macaulay connectivity of partially ordered sets
classification
🧮 math.CO
keywords
cohen--macaulayconnectivityedgewiseorderedpartiallysetsclosedcohen-macaulay
read the original abstract
The proper parts of face lattices of convex polytopes are shown to satisfy a strong form of the Cohen--Macaulay property, namely that removing from their Hasse diagram all edges in any closed interval results in a Cohen--Macaulay poset of the same rank. A corresponding notion of edgewise Cohen--Macaulay connectivity for partially ordered sets is investigated. Examples and open questions are discussed.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.