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Simplicity of partial and Schmidt differential operator rings - MaRDI portal

Simplicity of partial and Schmidt differential operator rings (Q1086325)

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scientific article; zbMATH DE number 3983400
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Simplicity of partial and Schmidt differential operator rings
scientific article; zbMATH DE number 3983400

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    Simplicity of partial and Schmidt differential operator rings (English)
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    1988
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    We develop necessary and sufficient conditions for certain differential operator rings to be simple. We do this for a ring with finitely many commuting derivations and for a ring with a commuting Schmidt higher derivation of finite length. Also we give a correspondence between finite sets of derivations and Schmidt higher derivations.
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    differential operator rings
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    commuting derivations
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    Schmidt higher derivations
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    simple rings
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