We correct and complete the picture available in the literature by showing that the integral Mackey algebra is Gorenstein if and only if the group order is square-free, in which case it must have Gorenstein dimension one.

中文翻译：

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戈伦斯坦的麦克基代数

通过证明积分的Mackey代数是且仅当群序是无平方的，并且在这种情况下它必须具有1的Gorenstein维数，我们才能纠正和完善文献中提供的图像。