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On the Ideals of a Lie Algebra of Derivations by D. A. Jordan is a Mathematics article available to read on EtoBox.

What is On the Ideals of a Lie Algebra of Derivations about?

The main theorem of this paper gives a sufficient condition for a Lie algebra of derivations of a commutative associative algebra to be simple. Examples to which it applies include the Lie algebra of all ^-derivations of any regular domain which is a finitely generated algebra over a field k of characteristic zero. Let k be a field and R be a commutative, associative fc-algebra with identity. The set Der^ R of all ^-derivations of R is a Lie algebra under the product The set Der k R is also an /^-module in a natural way: given r,seR and <5eDer & /?, rS maps s to rS(s). Throughout this paper D will denote a non-zero subalgebra of

Who reads On the Ideals of a Lie Algebra of Derivations?

It is typically read by researchers, students, and practitioners in Mathematics.

Author
D. A. Jordan
Published
1986
Language
EN
Field
Mathematics (Physical Sciences)

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