Stanley decompositions and partitionable simplicial complexes
Commutative Algebra
2007-05-23 v2
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.
Cite
@article{arxiv.math/0612848,
title = {Stanley decompositions and partitionable simplicial complexes},
author = {Juergen Herzog and Ali Soleyman Jahan and Siamak Yassemi},
journal= {arXiv preprint arXiv:math/0612848},
year = {2007}
}
Comments
10 pages