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In such case $\\bigoplus I_n$ is called a Rees algebra.\n  A Rees algebra is said to be a Diff-algebra if, for any two integers $N>n$ and any differential operator $D$ of order $n$, $D(I_N)\\subset I_{N-n}$. Any Rees algebra extends to a smallest Diff-algebra.\n  There are two ways to define extensions of Rees algebras, and both are of interest in singularity theory. 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In such case $\\bigoplus I_n$ is called a Rees algebra.\n  A Rees algebra is said to be a Diff-algebra if, for any two integers $N>n$ and any differential operator $D$ of order $n$, $D(I_N)\\subset I_{N-n}$. Any Rees algebra extends to a smallest Diff-algebra.\n  There are two ways to define extensions of Rees algebras, and both are of interest in singularity theory. 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