2 problems

Let $R$ be a ring spectrum of height $n$, meaning that $K(n)_*R\neq 0$ and $K(m)_*R=0$ for every $m>n$, where $K(m)$ denotes Morava K-theory. Height red-shift conjecture. The algeb…

Fix a prime $p$. Let $R$ be a suitable $\mathbb{E}_1$-ring of fp-type $n$, where fp-type is the chromatic finiteness notion described in the source, and let…