Isogeny in superstable groups

被引：1

作者：

Freitag, James ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

来源：

ARCHIVE FOR MATHEMATICAL LOGIC | 2014年 / 53卷 / 3-4期

基金：

美国国家科学基金会;

关键词：

Superstable groups; Isogeny; DIFFERENTIAL FIELDS;

D O I：

10.1007/s00153-014-0373-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study and develop a notion of isogeny for superstable groups inspired by the notion in algebraic groups and differential algebraic notions developed by Cassidy and Singer. We prove several fundamental properties of the notion. Then we use it to formulate and prove a uniqueness results for a decomposition theorem about superstable groups similar to one proved by Baudisch. Connections to existing model theoretic notions and existing differential algebraic notions are explained.

引用

页码：449 / 461

页数：13

共 50 条

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James Freitag
[J]. Archive for Mathematical Logic, 2014, 53 : 449 - 461
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