Dorin Popescu: Stanley depth of monomial ideals, p.95-101

Abstract:

Let $I\supsetneq J$ be two monomial ideals of a polynomial algebra over a field generated in degree $\geq d$, resp. $\geq d+1$ . We study when the Stanley Conjecture holds for $I/J$ using the recent result of [6] concerning the polarization.

Key Words: Monomial Ideals, Depth, Stanley depth.

2010 Mathematics Subject Classification: Primary: 13C15;
Secondary: 13F20, 13F55, 13P10.

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