Let *I⊋J* be two squarefree monomial ideals of a polynomial algebra over a field generated in degree , resp. . Suppose that is either generated by four squarefree monomials of degrees and others of degrees , or by five special monomials of degrees . If the Stanley depth of is then the usual depth of is 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.