Stanley’s conjecture for critical ideals
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Publication:4913514
DOI10.1556/SSCMATH.2010.1160zbMATH Open1274.13046arXiv0905.0960WikidataQ123025220 ScholiaQ123025220MaRDI QIDQ4913514
Author name not available (Why is that?)
Publication date: 5 April 2013
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/0905.0960
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