2006/12/29 by Juergen Herzog, Herzog, Juergen, Ali Soleyman Jahan +3 · 1 citation
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.math/0612848
openalex publication_date 2006/12/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.