Relative D-groups and differential Galois theory in several derivations

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    The Galois theory of logarithmic differential equations with respect to relative D-groups in partial differential-algebraic geometry is developed. This theory generalizes simultaneusly the parametrized Picard-Vessiot theory of Cassidy and Singer and the finite-dimensional theory of Pillay's generalized strongly normal extensions.
    Original languageEnglish
    Pages (from-to)7613-7638
    JournalTransactions of the American Mathematical Society
    Issue number11
    Publication statusPublished - 13 Mar 2015


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