Abstract: | Building upon earlier work of Donna Carr, Don Pelletier, Chris Johnson, Shu‐Guo Zhang and others, we show that a normal ideal J on Pκ(λ) is strongly normal if and only if J+→< (J+, μ)2 for every μ < κ, and we describe the least normal ideal J on Pκ(λ) such that J+ →< (J+, κ)2. |