3 citations · 4 across the 9 of their papers we have counts for
11 papers
Sums of two symbols in in characteristic two
Demba Barry, Adam Chapman, Ahmed Laghribi
In this paper, study sums of two symbols in when . We first prove a chain lemma that connects to $B=\{α,β\}_2…
A cohomological invariant for algebras of degree 8 and exponent 2 in characteristic 2
Ahmed Laghribi, Nico Lorenz
Our aim in this paper is to extend a work of Sivatski to characteristic 2. More precisely, for a field of characteristic and a central simple algebra of exponent 2 that…
Essential dimension of sequences of quadratic Pfister forms
Fatma Kader Bingöl, Adam Chapman, Ahmed Laghribi
We study the essential dimension of the set of isometry classes of -tuples of quadratic -fold Pfister forms over a field such that the Witt class of $φ_1…
Kato-Milne cohomology group over rational function fields in characteristic 2, II
Ahmed Laghribi, Trisha Maiti
Our aim in this paper is to prove in the setting of Kato-Milne cohomology in characteristic 2 an exact sequence which is analogue to the Milnor-Scharlau sequence [8, Theorem 6.2].…
5-dimensional minimal quadratic and bilinear forms over function fields of conics
Adam Chapman, Ahmed Laghribi
Over a field of characteristic 2, we give a complete classification of quadratic and bilinear forms of dimension 5 that are minimal over the function field of an arbitrary conic. T…
Kato-Milne cohomology group over rational function fields in characteristic 2, I
Ahmed Laghribi, Trisha Maiti
Let F be a field of characteristic 2. In this paper we determine the Kato-Milne cohomology of the rational function field F(x) in one variable x. This will be done by proving an an…
Mixed multiquadratic splitting fields
Fatma Kader Bingöl, Adam Chapman, Ahmed Laghribi
We study mixed multiquadratic field extensions as splitting fields for central simple algebras of exponent in characteristic . As an application, we provide examples of none…
Chow Groups of Quadrics in Characteristic Two
Yong Hu, Ahmed Laghribi, Peng Sun
Let be a smooth projective quadric defined over a field of characteristic 2. We prove that in the Chow group of codimension 2 or 3 of the torsion subgroup has at most two e…
The descent of biquaternion algebras in characteristic two
Demba Barry, Adam Chapman, Ahmed Laghribi
In this paper we associate an invariant to a biquaternion algebra over a field with a subfield such that is a quadratic separable extension and $\operatorname{cha…
Isotropy of 5-dimensional quadratic forms over the function field of a quadric in characteristic 2
Andrew Dolphin, Ahmed Laghribi
We complete a classification of quadratic forms over a field of characteristic 2 of type (1,3) that become isotropic over the function field of a quadric.
Total linkage of quaternion algebras and Pfister forms in characteristic two
Adam Chapman, Andrew Dolphin, Ahmed Laghribi
We study the subfields of quaternion algebras that are quadratic extensions of their center in characteristic 2. We provide examples of the following: two non-isomorphic quaternion…