Computing the Stanley depth

Let Q and Q′ be two monomial primary ideals of a polynomial algebra S over a field. We give an upper bound for the Stanley depth of S/(Q∩Q′) which is reached if Q, Q′ are irreducible. Also we show that Stanley's Conjecture holds for Q1∩Q2, S/(Q1∩Q2∩Q3), (Qi)i being some irreducible monomial ideals of S.