15 citations · 64 across the 25 of their papers we have counts for
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A categorical approach to Picard-Vessiot theory
Andreas Maurischat
Picard-Vessiot rings are present in many settings like differential Galois theory, difference Galois theory and Galois theory of Artinian simple module algebras. In this article we…
Picard-Vessiot theory of differentially simple rings
Andreas Maurischat
In Picard-Vessiot theory, the Galois theory for linear differential equations, the Picard-Vessiot ring plays an important role, since it is the Picard-Vessiot ring which is a torso…
Infinitesimal group schemes as iterative differential Galois groups
Andreas Maurischat
This article is concerned with Galois theory for iterative differential fields (ID-fields) in positive characteristic. More precisely, we consider purely inseparable Picard-Vessiot…
Galois theory for iterative connections and nonreduced Galois groups
Andreas Maurischat
This article presents a theory of modules with iterative connection. This theory is a generalisation of the theory of modules with connection in characteristic zero to modules over…