How to compute the Stanley depth of a monomial ideal
How to compute the Stanley depth of a monomial ideal
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DOI：
10.1016/j.jalgebra.2008.01.006
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发表时间：
2007-12
期刊：
影响因子：
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通讯作者：
J. Herzog;Marius Vladoiu;X. Zheng
中科院分区：
文献类型：
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作者：
J. Herzog;Marius Vladoiu;X. Zheng
设J≠I是单项式理想。我们证明了I/J的斯坦利深度可以在有限的步骤中计算。我们还引入了用素数滤波定义的单项式理想的f深度，并证明它也可以在有限步数内计算。在这两种情况下，证明了这些不变量可以通过考虑将合适的有限偏集划分为区间来确定。
Let J⊂I be monomial ideals. We show that the Stanley depth of I/J can be computed in a finite number of steps. We also introduce the fdepth of a monomial ideal which is defined in terms of prime filtrations and show that it can also be computed in a finite number of steps. In both cases it is shown that these invariants can be determined by considering partitions of suitable finite posets into intervals.