Finite generation of defining difference ideals is shown for difference algebraic groups with multiple commuting operators, implying existence of dimension polynomials for partial difference algebraic groups.
Differential Galois theory of linear difference equations
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Dimension Polynomials for Affine Partial Difference Algebraic Groups
Finite generation of defining difference ideals is shown for difference algebraic groups with multiple commuting operators, implying existence of dimension polynomials for partial difference algebraic groups.