Stanley decompositions and partitionable simplicial complexes
Juergen Herzog, Ali Soleyman Jahan, Siamak Yassemi
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.
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