Large free algebras in the ring of fractions of skew polynomial rings

被引：9
|
作者：
Shirvani, M [1 ]
Gonçalves, JZ
机构：
[1] Univ Alberta, Dept Math Sci, Edmonton, AB T6G 2G1, Canada
[2] Univ Sao Paulo, Dept Math, Sao Paulo, Brazil
来源：
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 1999年 / 60卷
基金：
巴西圣保罗研究基金会; 加拿大自然科学与工程研究理事会;
关键词：
D O I：
10.1112/S0024610799007772
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is shown that the division ring of quotients of a skew polynomial ring of automorphism type, if infinite-dimensional over its centre k and satisfying suitable hypotheses, contains the group algebra of a free group of large rank (usually at least \k\). The result applies, in particular, to the skew polynomial rings constructed from rational function fields, and affirmatively settles the conjectures of Makar-Limanov and Lichtman in this case.
引用
收藏
页码：481 / 489
页数：9
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