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math.LO2012
Relative D-groups and differential Galois theory in several derivations
Omar Leon Sanchez
The Galois theory of logarithmic differential equations with respect to relative D-groups in partial differential-algebraic geometry is developed.
math.LO2012
Corrigendum to the paper: Geometric Axioms for Differentially Closed Fields with Several Commuting Derivations
Omar Leon Sanchez
In the proof of Lemma 2.6 (2) the iteration of the map τ was not performed properly and in fact the lemma is wrong; a counterexample is given by f = \bar{x}_1and k = 2. This error…