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math.RA2026
Elementary first integrals of integral differential systems
Chitrarekha Sahu, Varadharaj R. Srinivasan
For a field of characteristic zero with a derivation , we provide a necessary and sufficient condition for a system of differential equations \begin{equation*} δy_1=f_0, \qu…
math.RA2026
Iterative Derivations on Central Simple Algebras
Manujith K. Michel, Varadharaj R. Srinivasan
We prove that an iterative derivation on a field can be extended to an iterative derivation on a central simple algebra if the characteristic of does no…
math.RA2024
Differential Galois Groups of Differential Central Simple Algebras and their Projective Representations
Manujith K. Michel, Varadharaj R. Srinivasan
Let be a field (differential field) of characteristic zero with an algebraically closed field of constants , be a central simple algebra, be a Picard-Ves…