Some foundational questions concerning differential algebraic groups
Some foundational questions concerning differential algebraic groups
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关于微分代数群的一些基本问题
DOI：
10.2140/pjm.1997.179.179
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发表时间：
1997
影响因子：
0.6
通讯作者：
A. Pillay
中科院分区：
文献类型：
--
作者：
A. Pillay
本文解决了Kolchin关于微分代数群的一些问题。主要的结果（其他的也是从这个结果而来）是任何微分代数群在代数群中的可嵌入性。一个关键的中间结果，和一个独立的利益，是一个概括的韦尔定理恢复代数群从birational数据，亲代数群。
In this paper we solve some problems posed by Kolchin about differential algebraic groups. The main result (from which the others follow) is the embeddability of any differential algebraic group in an algebraic group. A crucial intermediate result, and one of independent interest, is a generalisation of Weil’s theorem on recovering an algebraic group from birational data, to pro-algebraic groups.