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arxiv: 1104.3514 · v1 · pith:DWOTI6BWnew · submitted 2011-04-18 · 🧮 math.AC

Existence of partial-parameterized Picard-Vessiot extensions over fields with algebraically closed constants

classification 🧮 math.AC
keywords algebraicallyclosedconstantsdifference-differentialexistenceextensionsfieldsparameterized
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The purpose of this short note is to establish the existence of $\partial$-parameterized Picard-Vessiot extensions of systems of linear difference-differential equations over difference-differential fields with algebraically closed constants.

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