The finiteness dimension of modules and relative Cohen-Macaulayness
Let $R$ be a commutative Noetherian ring, $\mathfrak a$ and $\mathfrak b$ ideals of $R$. In this paper, we study the finiteness dimension $f_{\mathfrak a}(M)$ of $M$ relative to $\mathfrak a$ and the $\mathfrak b$-minimum $\mathfrak a$-adjusted depth $\lambda_{\mathfrak a}^{\mathfrak b}(M)$ of $M$,...
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| creator | Zohouri, M. Mast Amoli, Kh. Ahmadi |
| description | Let $R$ be a commutative Noetherian ring, $\mathfrak a$ and $\mathfrak b$
ideals of $R$. In this paper, we study the finiteness dimension $f_{\mathfrak
a}(M)$ of $M$ relative to $\mathfrak a$ and the $\mathfrak b$-minimum
$\mathfrak a$-adjusted depth $\lambda_{\mathfrak a}^{\mathfrak b}(M)$ of $M$,
where the underlying module $M$ is relative Cohen-Macaulay w.r.t $\mathfrak a$.
Some applications of such modules are given. |
| doi_str_mv | 10.48550/arxiv.1702.00175 |
| format | Article |
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ideals of $R$. In this paper, we study the finiteness dimension $f_{\mathfrak
a}(M)$ of $M$ relative to $\mathfrak a$ and the $\mathfrak b$-minimum
$\mathfrak a$-adjusted depth $\lambda_{\mathfrak a}^{\mathfrak b}(M)$ of $M$,
where the underlying module $M$ is relative Cohen-Macaulay w.r.t $\mathfrak a$.
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ideals of $R$. In this paper, we study the finiteness dimension $f_{\mathfrak
a}(M)$ of $M$ relative to $\mathfrak a$ and the $\mathfrak b$-minimum
$\mathfrak a$-adjusted depth $\lambda_{\mathfrak a}^{\mathfrak b}(M)$ of $M$,
where the underlying module $M$ is relative Cohen-Macaulay w.r.t $\mathfrak a$.
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ideals of $R$. In this paper, we study the finiteness dimension $f_{\mathfrak
a}(M)$ of $M$ relative to $\mathfrak a$ and the $\mathfrak b$-minimum
$\mathfrak a$-adjusted depth $\lambda_{\mathfrak a}^{\mathfrak b}(M)$ of $M$,
where the underlying module $M$ is relative Cohen-Macaulay w.r.t $\mathfrak a$.
Some applications of such modules are given.</abstract><doi>10.48550/arxiv.1702.00175</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Commutative Algebra |
| title | The finiteness dimension of modules and relative Cohen-Macaulayness |
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