Studia Scientiarum Mathematicarum Hungarica
Volume/Issue:
Volume 48: Issue 2
Stanley’s conjecture for critical ideals
Authors: Azeem Haider 1 and Sardar Khan 1
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  • 1 GC University Abdus Salam School of Mathematical Sciences 68-B New Muslim Town, Lahore Pakistan
DOI:
https://doi.org/10.1556/sscmath.2010.1160
Page Count:
220–226
Publication Date:
01 Jun 2011
Online Publication Date:
01 Dec 2010
Article Category:
Research Article
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Let S = K[x1,…,xn] be a polynomial ring in n variables over a field K. Stanley’s conjecture holds for the modules I and S/I, when I ⊂ S is a critical monomial ideal. We calculate the Stanley depth of S/I when I is a canonical critical monomial ideal. For non-critical monomial ideals we show the existence of a Stanley ideal with the same depth and Hilbert function.

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Cover Studia Scientiarum Mathematicarum Hungarica
Studia Scientiarum Mathematicarum Hungarica
Print ISSN:
0081-6906
Online ISSN:
1588-2896
Keywords:
Primary 13P10, 13C14; Secondary 13H10, 13F20; Critical monomial ideals; Stanley depth; Hilbert function

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