Inseparable extensions of algebras over the Steenrod algebra with applications to modular invariant theory of finite groups. II (Q1928891)

The author continues her investigation of the relationship between an unstable Noetherian integral domain over the Steenrod algebra, say \(H\), and its \(\mathcal{P}^*\)-inseparable closure, \(\root{\mathcal{P}^*}\of{H}\). The primary result is that if \(H\) is integrally closed then the depth of of \(H\) is greater than of equal to the depth of \(\root{\mathcal{P}^*}\of{H}\).