Stability theorems for positively graded domains and a question of Lindel

Sourjya Banerjee

Given a commutative Noetherian graded domain $R={⨁}_{i\ge 0}{R}_i$ of dimension $d\ge 2$ with $\dim (R_0)\ge 1$, we prove that any unimodular row of length $d+1$ in $R$ ca…