3 papers
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.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…
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…