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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.RA2025
Extension of derivations to forms
Manujith K. Michel, Chitrarekha Sahu
The problem of extending derivations of a field to an algebra is widely studied in commutative algebra and non-commutative ring theory. For example, every derivation of…