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Derivations of the subalgebras intermediate the general linear Lie algebra and the diagonal subalgebra over commutative rings
Archivum mathematicum, Tome 44 (2008) no. 3, pp. 173-183 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Let $R$ be an arbitrary commutative ring with identity, $\operatorname{gl}(n,R)$ the general linear Lie algebra over $R$, $d(n,R)$ the diagonal subalgebra of $\operatorname{gl}(n,R)$. In case 2 is a unit of $R$, all subalgebras of $\operatorname{gl}(n,R)$ containing $d(n,R)$ are determined and their derivations are given. In case 2 is not a unit partial results are given.
Let $R$ be an arbitrary commutative ring with identity, $\operatorname{gl}(n,R)$ the general linear Lie algebra over $R$, $d(n,R)$ the diagonal subalgebra of $\operatorname{gl}(n,R)$. In case 2 is a unit of $R$, all subalgebras of $\operatorname{gl}(n,R)$ containing $d(n,R)$ are determined and their derivations are given. In case 2 is not a unit partial results are given.
Classification : 13C10, 17B40, 17B45
Keywords: the general linear Lie algebra; derivations of Lie algebras; commutative rings 
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Wang, Dengyin; Wang, Xian. Derivations of the subalgebras intermediate the general linear Lie algebra and the diagonal subalgebra over commutative rings. Archivum mathematicum, Tome 44 (2008) no. 3, pp. 173-183. http://geodesic.mathdoc.fr/item/ARM_2008_44_3_a0/

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