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math.RA2017
Separable extensions of orthogonal involutions in characteristic two
Amir Hossein Nokhodkar
It is shown that an anisotropic orthogonal involution in characteristic two is totally decomposable if it is totally decomposable over a separable extension of the ground field. In…
math.RA2017
Orthogonal involutions and totally singular quadratic forms in characteristic two
A. -H. Nokhodkar
We associate to every central simple algebra with involution of orthogonal type in characteristic two a totally singular quadratic form which reflects certain anisotropy properties…
math.RA2017
Symmetric square-central elements in products of orthogonal involutions in characteristic two
Amir Hossein Nokhodkar
We obtain some criteria for a symmetric square-central element of a totally decomposable algebra with orthogonal involution in characteristic two, to be contained in an invariant q…