 Rees algebra

For an ideal $I\subseteq R$, the Rees ring is the graded subringIt packages all powers of $I$ into one algebra and turns stable filtrations into finitely generated graded modules.

Rees algebra is a construction in commutative algebra that generalizes the notion of an ideal in a ring. It is particularly useful in the study of local rings and algebraic geometry. The Rees algebra is named after David Rees, who introduced it as a tool for the study of properties of ideals and their associated varieties.