Weakly Polymatroidal Ideals
Weakly Polymatroidal Ideals
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DOI：
10.1142/s1005386706000666
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发表时间：
2006-12
影响因子：
0.3
通讯作者：
Masako Kokubo;T. Hibi
中科院分区：
文献类型：
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作者：
Masako Kokubo;T. Hibi
引入了弱多拟阵理想的概念，它推广了多拟阵理想和预稳定理想。一个基本事实是每个弱多拟阵理想都有线性分解。弱多拟阵理想的一个典型例子来自于有限偏序集。我们将每个弱多拟阵理想与一个有限序列联系起来，称之为多拟阵序列，这对于弱多拟阵理想的分次Betti数的计算以及弱多拟阵理想的构造都是有用的.
The concept of the weakly polymatroidal ideal, which generalizes both the polymatroidal ideal and the prestable ideal, is introduced. A fundamental fact is that every weakly polymatroidal ideal has a linear resolution. One of the typical examples of weakly polymatroidal ideals arises from finite partially ordered sets. We associate each weakly polymatroidal ideal with a finite sequence, alled the polymatroidal sequence, which will be useful for the computation of graded Betti numbers of weakly polymatroidal ideals as well as for the construction of weakly polymatroidal ideals.