The rank condition and strong rank conditions for Ore extensions

Karl Lorensen, Johan Öinert

Let $R$ be a ring, $\ddot{I}ƒ:R\to R$ a ring endomorphism, and $\hat{I}´:R\to R$ a $\ddot{I}ƒ$-derivation. We establish that the Ore extension $R[x;\ddot{I}ƒ,\hat{I}´]$ satisfies the rank condition if and only if…