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{c}
{title2=$\mathcal R(I)$}
{wiki=Rees_algebra}

For an ideal $I\subseteq R$, the Rees ring is the graded subring
$$
\mathcal R(I)=\bigoplus_{n\geq0}I^nt^n\subseteq R[t].
$$
It packages all powers of $I$ into one algebra and turns stable filtrations into finitely generated graded modules.


Rees ring

Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 101 / 6 / b / Solution

Rees ring ( $R (I)$ )

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Rees ring (R(I))

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Rees ring ( $R (I)$ )

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