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arXiv · 1811.04388

A study of strongly Cohen-Macaulay ideals by delta invariant

Mohammad T. Dibaei·Yaser Khalatpour
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Abstract

Let $R$ be a Cohen-Macaulay local ring, $I$ a strongly Cohen-Macaulay ideal of $R$. We show that $R/{\rm Ann}_R(I)$ is a maximal Cohen-Macaulay $R$-module by means of the delta-invariant. Also it is shown that there exists a Cohen-Macaulay ideal $J$ of $R$ such that the $\delta_{R/J}$-invariant of all Koszul homologies of $R$ with respect $I$ is zero.

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Mohammad T. Dibaei, Yaser Khalatpour. 2018-11-11. A study of strongly Cohen-Macaulay ideals by delta invariant. https://arxiv.org/abs/1811.04388

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