On rings of integers generated by their units

On rings of integers generated by their units
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DOI:
10.1112/blms/bdr089
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发表时间:
2010-09
影响因子:
0.9
通讯作者:
C. Frei
C. Frei
中科院分区:
数学3区
文献类型:
--
作者:
C. Frei

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我们给一个肯定的回答以下问题的Jarden和Narkiewicz:是真的,每一个数域有一个有限的扩展L,使环的整数L是由它的单位(作为一个环)?
We give an affirmative answer to the following question by Jarden and Narkiewicz: Is it true that every number field has a finite extension L such that the ring of integers of L is generated by its units (as a ring)?