Dorin Popescu and Andrei Zarojanu: Three generated, squarefree, monomial ideals, p.359-368


Let I⊋J be two squarefree monomial ideals of a polynomial algebra over a field generated in degree $\geq d$, resp. $\geq d+1$ . Suppose that $I$ is generated by three monomials of degrees $d$. If the Stanley depth of $I/J$ is $\leq d+1$ then the usual depth of $I/J$ is $\leq d+1$ too.

Key Words: Monomial Ideals, Depth, Stanley depth.

2000 Mathematics Subject Classification: Primary: 13C15;
Secondary: 13F20, 13F55, 13P10.

Download the paper in pdf format here.