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math.RA2023★ 2 cited
Differential Central Simple Algebras
Parul Gupta, Yashpreet Kaur, Anupam Singh
Differential central simple algebras are the main object of study in this survey article. We recall some crucial notions such as differential subfields, differential splitting fiel…
math.RA2022★ 1 cited
Splitting of differential quaternion algebras
Parul Gupta, Yashpreet Kaur, Anupam Singh
We study differential splitting fields of quaternion algebras with derivations. A quaternion algebra over a field is always split by a quadratic extension of . However, a di…
math.RA2022★ 4 cited
Splitting fields of differential symbol algebras
Parul Gupta, Yashpreet Kaur, Anupam Singh
For , we study derivations on symbol algebras of degree over fields with characteristic not dividing . A differential central simple algebra over a field is spl…