4 papers
Maximum number of solutions of in a finite noncommutative algebra
Vineeth Chintala
We obtain a bound on the number of solutions of in a finite noncommutative algebra over a field with elements. Furthermore, we completely characterize those rings for w…
On Suslin Matrices and their connection to Spin groups
Vineeth Chintala
A concrete representation of the Clifford algebra (for any hyperbolic quadratic space) is given using what are called Suslin matrices. This explicit construction is used to analyze…
Sorry, the nilpotents are in the center
Vineeth Chintala
The behavior of nilpotents can reveal valuable information about the algebra. We give a simple proof of a classic result that a finite ring is commutative if all its nilpotents lie…
Embeddings of Quadratic Spaces
Vineeth Chintala
We introduce a concept of an embedding of a quadratic space in an associative algebra. The general properties of such embeddings are analyzed by linking it to the Clifford algebra.…