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YCor
YCor
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We know that if $f\in k[X_1,{...},X_n]$ is quasi-homogeneous polynomial and $R :=k[X_1,{...},X_n]/(f)$, then any minimal generating set of $Der_k(R)$$\operatorname{Der}_k(R)$ contains the Euler derivation. Is the same thing true for any positive graded domain?

We know that if $f\in k[X_1,{...},X_n]$ is quasi-homogeneous polynomial and $R :=k[X_1,{...},X_n]/(f)$, then any minimal generating set of $Der_k(R)$ contains the Euler derivation. Is the same thing true for any positive graded domain?

We know that if $f\in k[X_1,{...},X_n]$ is quasi-homogeneous polynomial and $R :=k[X_1,{...},X_n]/(f)$, then any minimal generating set of $\operatorname{Der}_k(R)$ contains the Euler derivation. Is the same thing true for any positive graded domain?

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florina gayle
florina gayle
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Derivation of positively graded domain

We know that if $f\in k[X_1,{...},X_n]$ is quasi-homogeneous polynomial and $R :=k[X_1,{...},X_n]/(f)$, then any minimal generating set of $Der_k(R)$ contains the Euler derivation. Is the same thing true for any positive graded domain?