Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Total linkage of quaternion algebras and Pfister forms in characteristic
  two   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 algebras that share all their quadratic subfields,
two quaternion algebras that share all their inseparable but not all their
separable quadratic subfields and two algebras that share all their separable
but not all their inseparable quadratic subfields. We also discuss quaternion
algebras over global fields and fields of Laurent series over a perfect field
of characteristic 2 and show that the quaternion algebras over these fields are
determined by their separable quadratic subfields. Throughout, these linkage
questions are treated in the more general setting by considering the linkage of
Pfister forms.

31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph