On 14-dimensional quadratic forms in , 8-dimensional forms in , and the common value property.
On -commuting graph of matrix algebra.
On finite homomorphic images of the multiplicative group of a division algebra.
On the roots of polynomials over division algebras.
On the zeros of a quaternionic polynomial: An extension of the Eneström-Kakeya theorem
We present some results on the location of zeros of regular polynomials of a quaternionic variable. We derive new bounds of Eneström-Kakeya type for the zeros of these polynomials by virtue of a maximum modulus theorem and the structure of the zero sets of a regular product established in the newly developed theory of regular functions and polynomials of a quaternionic variable. Our results extend some classical results from complex to the quaternionic setting as well.