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arXiv · 1702.00175

The finiteness dimension of modules and relative Cohen-Macaulayness

M. Mast Zohouri·Kh. Ahmadi Amoli
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Abstract

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.

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M. Mast Zohouri, Kh. Ahmadi Amoli. 2017-02-01. The finiteness dimension of modules and relative Cohen-Macaulayness. https://arxiv.org/abs/1702.00175

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