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Title
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Stanley decompositions and partitionable simplicial complexes.
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Type
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JournalPaper
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Keywords
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Stanley decompositions · Partitionable simplicial complexes · Pretty clean modules
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Abstract
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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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Researchers
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Siamak Yassemi (Third Researcher), Ali Soleyman Jahan (Second Researcher), Jurgen Herzog (First Researcher)
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