Elementary theory of free non-abelian groups

Elementary theory of free non-abelian groups
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DOI:
10.1016/j.jalgebra.2006.03.033
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发表时间:
2006-08
期刊:
影响因子:
0.9
通讯作者:
O. Kharlampovich;A. Myasnikov
O. Kharlampovich;A. Myasnikov
中科院分区:
数学3区
文献类型:
--
作者:
O. Kharlampovich;A. Myasnikov

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证明了任意两个非交换自由群有相同的基本理论,并且这个基本理论是可判定的。这些结果解决了塔斯基在1945年提出的两个问题。
We prove that any two non-abelian free groups have the same elementary theory and that this theory is decidable. These results solve two questions that were raised by Tarski in 1945.