AI 中文总结
本文研究非交换环及代数上的局部广义根线性群结构，针对线性群的若干特殊情形，给出了广义伯恩赛德问题和贝尔猜想的肯定答案。
AI 中文摘要
本文研究某些非交换环和代数上的局部广义根线性群的结构，所考虑的基环和代数包括除环、左阿廷环、域上的局部有限代数以及域上的PI代数。在诸多结果中，我们对线性群的若干特殊情形给出了广义伯恩赛德问题和贝尔猜想的肯定答案。
英文摘要
In this paper, we investigate the structure of locally generalized radical linear groups over certain non-commutative rings and algebras. The base rings and algebras we consider include division rings, left artinian rings, locally finite algebras over fields, and PI-algebras over fields. Among various results, we get the positive answers to the General Burnside Problem and to Baer's Conjecture for some particular cases of linear groups.
Comments34 pages
