The symbolic powers, in general, are not equal to the ordinary powers. Therefore, one interesting question here is for what classes of ideals ordinary and symbolic powers coincide? The answer to this question for square-free monomial ideals may be packing property. In this paper, we classify all cubic path ideals for those the symbolic and ordinary powers coincide.

中文翻译：

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立方无立方单项理想的填充特性

通常，符号权力不等同于普通权力。因此，这里一个有趣的问题是，普通权力和象征权力的理想类别是什么？对于无平方单项式理想，此问题的答案可能是包装性质。在本文中，我们将所有三次路径理想归类为那些象征性和普通权力的重合。