Algebra Seminar

Hongdi Huang, Department of Pure Mathematics, University of Waterloo

"Skew polynomial rings and their prime ideals"

The skew polynomial rings (Ore extensions) are of the form $T=R[x, \sigma, \delta],$  where $\sigma$ is a ring endomorphism of $R$ and $\delta$ is $\sigma$-derivation on $R$ such that $ax=x\sigma(a)+\delta(a)$. If both $\sigma$ and $\delta$ are non-trival, and $P$ is a prime ideal of $T$, we are interested in the prime ideal restriction $R\cap P$. In this talk,  we will introduce some result when $R$ is commutative noetherian. 

MC 5417