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# Article

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Keywords:
the general linear Lie algebra; derivations of Lie algebras; commutative rings
Summary:
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.
References:
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