Ore extensions of commutative rings and the Dixmier-Moeglin equivalence

Jason P. Bell, Léon Burkhardt, Nicholas Priebe

We consider Ore extensions of the form $T:=R[x;\sigma ,\delta ]$ with $R$ a commutative integral domain that is finitely generated over a field $k$. We show that if $T$ has Gelfand-Kirillov di…