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عنوان
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On the dual of Hilbert coefficients and width of the Associated graded modules over Artinian modules
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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Associated graded modules, Artinian modules, Hilbert-Samuel polynomial, Hilbert-coefficients
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چکیده
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Let $(A,\fm)$ be a commutative quasi-local ring with non-zero identity and let $M$ be an Artinian co-Cohen-Macaulay $R$-module with $\dim M=d$. Let $I\subseteq\fm$ be an ideal of $R$ with $\ell(0:_MI)<\infty$. In this paper, for $0\leq i\leq d$, we study the dual of Hilbert coefficients $\acute{e}_i(I,M)$ of $I$ relative to $M$. Also, we prove the dual of Huckaba-Marley's inequality. Moreover, we obtain some consequences of this result.
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پژوهشگران
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امیر مافی (نفر دوم)، فاطمه چراغی (نفر اول)
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