4 citations · 5 across the 3 of their papers we have counts for
6 papers
Quadratic descent of hermitian forms (with an erratum)
Amir Hossein Nokhodkar
Quadratic descent of hermitian and skew hermitian forms over division algebras with involution of the first kind in arbitrary characteristic is investigated and a criterion, in ter…
Quadratic -forms with applications to hermitian forms
Amir Hossein Nokhodkar
We study some properties of quadratic forms with values in a field whose underlying vector spaces are endowed with the structure of right vector spaces over a division ring extensi…
Quadratic descent of totally decomposable orthogonal involutions in characteristic two
Amir Hossein Nokhodkar
We investigate the quadratic descent of totally decomposable algebras with involution of orthogonal type in characteristic two. Both separable and inseparable extensions are includ…
On the decomposition of metabolic involutions
Amir Hossein Nokhodkar
The problem of whether a metabolic idempotent of a central simple algebra with involution is contained in an invariant quaternion subalgebra is investigated. As an application, the…
Applications of the Wall form to unipotent isometries of index two
Amir Hossein Nokhodkar
We investigate the Wall form of unipotent elements of index two in the orthogonal group and obtain a decomposition for these elements. Also, in characteristic two, the relation bet…
On totally decomposable algebras with involution in characteristic two
M. G. Mahmoudi, A. -H. Nokhodkar
A necessary and sufficient condition for a central simple algebra with involution over a field of characteristic two to be decomposable as a tensor product of quaternion algebras w…