Arithmetical rank of a squarefree monomial ideal whose Alexander dual is of deviation two
Arithmetical rank of a squarefree monomial ideal whose Alexander dual is of deviation two
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无方单项式理想的算术秩，其亚历山大对偶偏差为二
DOI：
10.1007/s40306-015-0136-x
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发表时间：
2015
影响因子：
0.5
通讯作者：
Ken-ichi Yoshida
中科院分区：
文献类型：
--
作者：
Kyouko Kimura;Naoki Terai;Ken-ichi Yoshida
本文证明了当arithdegI-indegI =2且I有线性分解时，多项式环的无平方根的单项理想I的算术秩等于S/I的投影维数.
In this paper, we prove that the arithmetical rank of a squarefree monomial idealIof a polynomial ringSis equal to the projective dimension ofS/Iwhen arithdegI−indegI=2 andIhas a linear resolution.