Index of reducibility of parameter ideals in a local ring

Index of reducibility of parameter ideals in a local ring
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局部环中参数理想的可约性指数

DOI:
10.1016/0021-8693(84)90160-1
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发表时间:
1984
影响因子:
--
通讯作者:
Naoyoshi Suzuki
Naoyoshi Suzuki
中科院分区:
--
文献类型:
--
作者:
S. Goto;Naoyoshi Suzuki

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设A为具有极大理想m的noetheran局部环。对于A的m-初级理想A,在A的一个不可余不可约分解中出现的不可约理想的个数N (A)称为A(201)的可约指标。如[17]中所述,众所周知,我们已经
Let A be a Noetherian local ring with maximal ideal m. For an m-primary ideal a of A, the number N (a) of irreducible ideals that appear in an irredundant irreducible decomposition of a is called the index of reducibility of a (201. As was stated in [17) and is well known, we have