The Fields of Real and Complex Numbers with a Small Multiplicative Group
The Fields of Real and Complex Numbers with a Small Multiplicative Group
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具有小乘法群的实数域和复数域
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
Ayhan Günaydin
中科院分区：
文献类型：
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作者：
L. van den Dries;Ayhan Günaydin
本文研究具有Mann性质的乘法群的真实的和复域的模型理论。在这些群中，有一些是这些域中的双生成乘法群。作为一个副产品，我们得到了一些关于在维特向量环和正特征域中具有Mann性质的群的结果。
We consider the model theory of the real and complex fields with a multiplicative group having the Mann property. Among these groups are the finitely generated multiplicative groups in these fields. As a by‐product we obtain some results on groups with the Mann property in rings of Witt vectors and in fields of positive characteristic.k 2000 Mathematics Subject Classification 03C10, 03C35, 03C60, 03C64, 03C98, 13K05.