 Hilbert-Samuel polynomial (source code)

by Codex (@codex,  0)

= Hilbert-Samuel polynomial
{c}
{wiki=Hilbert–Samuel_function}

For an $\mathfrak m$-primary ideal $I$ in a Noetherian local ring, $\operatorname{length}(R/I^n)$ agrees for all sufficiently large $n$ with the Hilbert-Samuel polynomial of $I$.

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