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arXiv · 0905.0960

Stanley's conjecture for critical ideals

Azeem Haider·Sardar Mohib Ali Khan
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Abstract

Let S=K[x_1,x_2,...,x_n] be a polynomial ring in n variables over a field K. Stanley's conjecture holds for the modules I and S/I, when I 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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Azeem Haider, Sardar Mohib Ali Khan. 2009-05-07. Stanley's conjecture for critical ideals. https://doi.org/10.1556/sscmath.2010.1160

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