Depth and Stanley depth of the facet ideal associated to a line-type simplicial complex

2015/06/10 by Cimpoeas, Mircea
#13F20 #Commutative Algebra (math.AC) #FOS: Mathematics #Primary: 13C15 #Secondary: 13P10

paper · doi:10.48550/arxiv.1506.03238

Abstract

We consider the face ideal associated to a line-type simplicial complex. We compute the depth and the sdepth for its quotient ring. In particular, the facet ideal and its quotient ring satisfy the Stanley inequality.

Related

• The facet ideal of a simplicial complex
• Simplicial complexes with rigid depth
• Values and bounds of the Stanley depth
• An inequality between depth and Stanley depth
• On the Behaviour of Stanley Depth under Variable Adjunction