Geodesic
Stanley decompositions and partitionable simplicial complexes
Journal of Algebraic Combinatorics, Tome 27 (2008) no. 1, pp. 113-125.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Keywords: keywords Stanley decompositions, partitionable simplicial complexes, pretty clean modules 
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     title = {Stanley decompositions and partitionable simplicial complexes},
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Herzog, Jürgen; Jahan, Ali Soleyman; Yassemi, Siamak. Stanley decompositions and partitionable simplicial complexes. Journal of Algebraic Combinatorics, Tome 27 (2008) no. 1, pp. 113-125. http://geodesic.mathdoc.fr/item/JAC_2008__27_1_a0/