Edgewise Cohen-Macaulay connectivity of partially ordered sets

  • Christos A. Athanasiadis
  • Myrto Kallipoliti

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.

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Published
2018-02-20
How to Cite
Athanasiadis, C., & Kallipoliti, M. (2018). Edgewise Cohen-Macaulay connectivity of partially ordered sets. MATHEMATICA SCANDINAVICA, 122(1), 5-17. https://doi.org/10.7146/math.scand.a-97270
Section
Articles