2 problems

Let $R$ be a Noetherian local ring of dimension $d$. A sequence $x_1,\ldots,x_d$ is a system of parameters when it generates an ideal whose radical is the maximal ideal; more gener…

Let $R$ be a complete local domain of mixed characteristic. A Q-sequence is a sequence with the quasilength property used in the definition of robust algebras. Mixed-characteristic…