  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 $(P_i)_{i\in [s]}$ of $S$ such
that $P_i\not\subset \Sigma_{1=j\not =i}^s P_j$ for all $i\in [s]$.
