Multiplicities and Rees valuations

Multiplicities and Rees valuations
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多重性和里斯估值

DOI:
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发表时间:
2010
期刊:
影响因子:
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通讯作者:
Javid Validashti
Javid Validashti
中科院分区:
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文献类型:
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作者:
D. Katz;Javid Validashti

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让(r; m)成为krull尺寸的局部环,并且我们表明,I的理想是由I的REES估值确定的。以ANO(ND)速率生长的一系列长度的limsup。
Let (R;m) be a local ring of Krull dimensiond andI ⊆R be an ideal with analytic spreadd. We show that thej-multiplicity ofI is determined by the Rees valuations ofI centered on m. We also discuss a multiplicity that is the limsup of a sequence of lengths that grow at anO(nd) rate.