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- W1791717448 abstract "In this article, we prove that the Buchsbaum-Rim function $ell_A(§_{nu+1}(F)/N^{nu+1})$ of a parameter module $N$ in $F$ is bounded above by $e(F/N) binom{nu+d+r-1}{d+r-1}$ for every integer $nu geq 0$. Moreover, it turns out that the base ring $A$ is Cohen-Macaulay once the equality holds for some integer $nu$. As a direct consequence, we observe that the first Buchsbaum-Rim coefficient $e_1(F/N)$ of a parameter module $N$ is always non-positive." @default.
- W1791717448 created "2016-06-24" @default.
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- W1791717448 date "2010-03-02" @default.
- W1791717448 modified "2023-09-27" @default.
- W1791717448 title "A Note on the Buchsbaum-Rim function of a parameter module" @default.
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