DERIVATIONS OF THE SUBALGEBRAS INTERMEDIATE THE GENERAL LINEAR LIE ALGEBRA AND THE DIAGONAL SUBALGEBRA OVER COMMUTATIVE RINGS

被引：0
|
作者：
Wang, Dengyin [1 ]
Wang, Xian [2 ]
机构：
[1] China Univ Min & Technol, Dept Math, Xuzhou 221008, Jiangsu, Peoples R China
[2] Okayama Univ, Grad Sch Nat Sci & Technol, Okayama 7008530, Japan
来源：
ARCHIVUM MATHEMATICUM | 2008年 / 44卷 / 03期
关键词：
the general linear Lie algebra; derivations of Lie algebras; commutative rings;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let R be an arbitrary commutative ring with identity, gl(n, R) the general linear Lie algebra over R, d(n, R) the diagonal subalgebra of gl(n, R). In case 2 is a unit of R, all subalgebras of gl(n, R) containing d(n, R) are determined and their derivations are given. In case 2 is not a unit partial results are given.
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页码：173 / 183
页数：11
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