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math.RA2020
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…
math.RA2020
A partition of finite rings makes lifting possible
Vineeth Chintala
We show that every finite ring has a partition, where each block corresponds to one idempotent. Remarkably, this partition provides a way to \emph{lift} a wide variety of special e…
math.RA2020
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…