Less saturated ideals

We prove the following: (1) If κ; is weakly inaccessible then NS_κ is not κ⁺-saturated. (2) If κ is weakly inaccessible and θ < κ is regular then NS_κ^θ is not κ⁺saturated. (3) If κ is singular then NS^cfκ is not κ⁺⁺-saturated. Combining this with previous results of Shelah, one obtains the following: (A) If κ > N₁ then NSκ is not κ+-saturated. (B) If θ⁺ < κ then NS_κ^θ is not κ⁺-saturated.