A study of strongly Cohen-Macaulay ideals by delta invariant (Q826574)

Let \(R\) be a Cohen-Macaulay local ring, \(I\) a strongly Cohen-Macaulay ideal of \(R\). \textit{C. Huneke} [Adv. Math. 56, 295--318 (1985; Zbl 0585.13006)] showed that \(R/\mathrm{Ann}_R(I)\) is Cohen-Macaulay. In the present paper the authors give an alternative proof of this result using the delta invariant. Moreover, they show that \(R/\mathrm{Ann}_R(I)\) is indeed a maximal Cohen-Macaulay \(R\)-module. Also, the authors prove that there is an ideal \(J\) of \(R\) such that the \(\delta_{R/J}\)-invariant of all Koszul homologies of \(R\) with respect to \(I\) are zero.