Abstract:A misuse of terminology has occurred in the statement and proof of Theorem 4.1 in our paper [Proc. Amer. Math. Soc. 143 (2015), pp. 1981–1989] which caused some justifiable misinterpretation of this result. To recover this result we provide a new definition and give the statement of our result in terms of this definition. The proof of the new version is an improvement of the old proof. The effect of the new definition on further relevant results in our paper has been adopted in a remark.

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中文翻译：

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“任意余维中的 Cohen-Macaulay 二部图”的更正

摘要：我们的论文 [Proc. 4.1] 的定理 4.1 的陈述和证明中出现了术语的误用。阿米尔。数学。社会。143 (2015), pp. 1981–1989] 这导致了对这一结果的一些合理的误解。为了恢复这个结果，我们提供了一个新的定义，并根据这个定义给出了我们的结果的陈述。新版本的证明是对旧证明的改进。新定义对我们论文中进一步相关结果的影响已在评论中采用。

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