A note on rigidity and triangulability of a derivation

Manoj K. Keshari, Swapnil A. Lokhande

Let A be a $\mathfrak{Q}$-domain, K=frac(A), B=A^{[n]} and D\in \lnd_A(B). Assume rank D= rank D_K=r, where D_K is the extension of D to K^{[n]}. Then we show that (i) If D_K is rig…