Suppose $R$ is a Noetherian local ring and $a,b$ is a regular sequence in $R$. Now let $T$ be an indeterminate and $B=\frac{R[T]}{(aT-b)}$.
Is $B$ a flat $R$ module? If not, under what conditions (say if it is reduced?) is it flat?
2026-03-26 07:55:26.1774511726
regular sequence and flatness
243 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in ALGEBRAIC-GEOMETRY
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