## Dorin Popescu: Depth in a pathological case, p.187-195

### Abstract:

Let be a squarefree monomial ideal of a polynomial algebra over a field minimally generated by of degree , and a set of monomials of degree . Let be a squarefree monomial ideal generated in degree . Suppose that all squarefree monomials of of degree are some least common multiples of . If contains all least common multiples of two of of degree then depth and Stanley's Conjecture holds for .

Key Words: Monomial Ideals, Depth, Stanley depth.

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