Manujith K. Michel

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20242026

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math.RA2026

Iterative Derivations on Central Simple Algebras

Manujith K. Michel, Varadharaj R. Srinivasan

We prove that an iterative derivation $δ_{F}$ on a field $F$ can be extended to an iterative derivation $δ_{A}$ on a central simple $F -$ algebra $A$ if the characteristic of $F$ does no…

math.RA2025

Extension of derivations to forms

Manujith K. Michel, Chitrarekha Sahu

The problem of extending derivations of a field $F$ to an $F -$ algebra $B$ is widely studied in commutative algebra and non-commutative ring theory. For example, every derivation of…

math.RA2024

Differential Galois Groups of Differential Central Simple Algebras and their Projective Representations

Manujith K. Michel, Varadharaj R. Srinivasan

Let $F$ be a $δ -$ field (differential field) of characteristic zero with an algebraically closed field of constants $F^{δ}$ , $A$ be a $δ - F -$ central simple algebra, $K$ be a Picard-Ves…