4 problems

Let $R$ be a Krull ring, and let $\operatorname{Int}(R)$ denote its ring of integer-valued polynomials. A PVMR is the corresponding Prüfer-v-multiplication ring notion for rings wi…

Let $D$ be a Dedekind domain of characteristic zero with quotient field $K$. The Dedekind-domain containment conjecture. Every idempotent $D$-plethory is contained in $K[e]$, or, e…

Let $D$ be an integral domain, and let $\operatorname{Int}(D)$ denote its ring of integer-valued polynomials. For a ring $R$, consider the conditions that $\operatorname{Int}(R)$ i…

Let $D$ be an integral domain. Non-plethory-domain conjecture. There exists an integral domain $D$ such that ${\operatorname{Int}}(D)$ is not an (idempotent) $D$-plethory. The prec…