On the Chain Problem of Prime Ideals

On the Chain Problem of Prime Ideals
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论素理想链问题

DOI:
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发表时间:
1956
影响因子:
0.8
通讯作者:
M. Nagata
M. Nagata
中科院分区:
数学2区
文献类型:
--
作者:
M. Nagata

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有一个问题叫做素理想链问题,它问,当0是诺特局部整环时,在0中的任意最大素理想链的长度是否等于秩0。
There is a problem called the chain problem of prime ideals, which asks, when 0 is a Noetherian local integral domain, whether the length of an arbitrary maximal chain of prime ideals in 0 is equal to rank 0 or not.