2k-1-Ideal amenability for suitable direct summands of banach algebras

Let A be a Banach algebra and let n ∈ ℕ. Then A is n-ideally amenable if H¹ (A, I⁽ⁿ⁾ = {0}, for every closed ideal I in A. Let k ∈ ℕ, and let A = B ⊕ I for closed unital subalgebra B and closed two-sided ideal I of A, which I is contained in the set of right annihilators of A. We show that if A is 2k-1-ideally amenable, then B is 2k-1-ideally amenable. We apply this result for n-ideal amenability of group algebras.