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Picard-Vessiot and categorically normal extensions in differential-difference Galois theory. (English) Zbl 1404.12008

Summary: The connection between categorical and differential Galois theories established by the author (published in 1989) is extended to the context that includes difference Galois theory.

MSC:

12H10 Difference algebra
12H05 Differential algebra
18A40 Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.)
18A99 General theory of categories and functors
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Full Text: Euclid