Jooyoung Shin

activity

20202024

collaborators

3 papers

math.RA2024

Jacobson radicals of Ore extensions

Jooyoung Shin

Let $R$ be a ring, $σ$ be an automorphism of $R$ , and $D$ be a $σ$ -derivation on $R$ with $D σ = σ D$ . We will show that $J (R [x; σ, D]) \subseteq A [x; σ, D]$ where $A$ is a collection of al…

math.RA2023

On differential polynomial rings with locally nilpotent derivations

Jooyoung Shin

Let $R$ be a $Q$ -algebra and $d$ be a locally nilpotent derivation on $R$ . We will show that the Jacobson radical of a differential polynomial ring $R [x; d]$ equals $I[x;d]…

math.RA2020

Iterated Differential Polynomial Rings over Locally Nilpotent Rings

Steven Jin, Jooyoung Shin

We study iterated differential polynomial rings over a locally nilpotent ring and show that a large class of such rings are Behrens radical. This extends results of Chebotar and Ch…