annihilators and attached primes of local cohomology modules with respect to a system of ideals

Let φ be a system of ideals of a commutative noetherian ring, we study the annihilators and attached primes of local cohomology modules with respect to a system of ideals. we prove that if m is a non-zero finitely generated r-module of finite dimension d and φ is a system of ideals, then att(hdφ(m))={p∈assm ∣ cd(φ,r/p)=d}. moreover, if the cohomology dimension of m with respect to φ is dimm−1, then att(hdimm−1φ(m))={p∈suppm∣cd(φ,r/p)=dimm−1}.