The Stanley Conjecture on Intersections of Four Monomial Prime Ideals

摘要

We show that the Stanley's Conjecture holds for an intersection of four monomial prime ideals of a polynomial algebra S over a field and for an arbitrary intersection of monomial prime ideals (P_i)_i∈_(s) of S such that each P_i is not contained in the sum of the other (P_j)_(j≠i).