Stanley decompositions and partitionable simplicial complexes
classification
🧮 math.AC
keywords
stanleydecompositionscodimensioncohen-macaulaycomplexesconjectureidealsmonomial
read the original abstract
We study Stanley decompositions and show that Stanley's conjecture on Stanley decompositions implies his conjecture on partitionable Cohen-Macaulay simplicial complexes. We also prove these conjectures for all Cohen-Macaulay monomial ideals of codimension 2 and all Gorenstein monomial ideals of codimension 3.
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.