Stanley depth of monomial ideals

2014/04/24 by Popescu, Dorin
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1404.6010

Abstract

Let I\supsetneq J be two monomial ideals of a polynomial algebra over a field generated in degree ≥ d, resp. ≥ d+1 . We study when the Stanley Conjecture holds for I/J using the recent result of \citeIKM concerning the polarization.

Related

• The behavior of Stanley depth under polarization
• Stanley depth on five generated, squarefree, monomial ideals
• Values and bounds of the Stanley depth
• Depth of some square free monomial ideals
• Depth of some special monomial ideals