Displaying similar documents to “Semiprime rings with nilpotent Lie ring of inner derivations”

Derivations of the subalgebras intermediate the general linear Lie algebra and the diagonal subalgebra over commutative rings

Deng Yin Wang, Xian Wang (2008)

Archivum Mathematicum

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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.

Nilpotent control systems.

Elisabeth Remm, Michel Goze (2002)

Revista Matemática Complutense

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We study the class of matrix controlled systems associated to graded filiform nilpotent Lie algebras. This generalizes the non- linear system corresponding to the control of the trails pulled by car.

A nilpotent Lie algebra and eigenvalue estimates

Jacek Dziubański, Andrzej Hulanicki, Joe Jenkins (1995)

Colloquium Mathematicae

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The aim of this paper is to demonstrate how a fairly simple nilpotent Lie algebra can be used as a tool to study differential operators on n with polynomial coefficients, especially when the property studied depends only on the degree of the polynomials involved and/or the number of variables.