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ON THE TOP LOCAL COHOMOLOGY AND FORMAL LOCAL COHOMOLOGY MODULES

Shahram Rezaei|Behrouz Sadeghi
대한수학회 (The Korean Mathematical Society)|2023.01|대한수학회보 (Bulletin of the KMS)|제60권 제1호|pp. 149-160|DOI 10.4134/BKMS.b220003

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참고문헌

키워드

local cohomologyFormal local cohomology
주제분류수학

초록

Let ${\fa}$ and $\fb$ be ideals of a commutative Noetherian ring $R$ and $M$ a finitely generated $R$-module of finite dimension $d>0$. In this paper, we obtain some results about the annihilators and attached primes of top local cohomology and top formal local cohomology modules. In particular, we determine $\Ann (\fb\HE_{\fa}^{d}(M))$, $\Att (\fb\HE_{\fa}^{d}(M))$, $\Ann(\fb\mathfrak{F}_{\fa}^{d} (M))$ and $\Att (\fb\mathfrak{F}_{\fa}^{d} (M))$.

Abstract

Let ${\fa}$ and $\fb$ be ideals of a commutative Noetherian ring $R$ and $M$ a finitely generated $R$-module of finite dimension $d>0$. In this paper, we obtain some results about the annihilators and attached primes of top local cohomology and top formal local cohomology modules. In particular, we determine $\Ann (\fb\HE_{\fa}^{d}(M))$, $\Att (\fb\HE_{\fa}^{d}(M))$, $\Ann(\fb\mathfrak{F}_{\fa}^{d} (M))$ and $\Att (\fb\mathfrak{F}_{\fa}^{d} (M))$.

참고문헌 (16)

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