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.

引用

页码：173 / 183

页数：11

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