Affiliation:
1. Departamento de Matemática, Universidade Federal do Ceará, Fortaleza, Brazil
Abstract
Let k be a field of characteristic distinct from 2, a, a1, a2, a3 ∈ k*, D ∈ 2 Br k, exp D = 2, [Formula: see text]. We prove that D is a sum of 18 quaternion algebras. Also for a field F of certain type we construct a certain function f( ind D) such that D is a sum of f( ind D) quaternions for any D ∈ 2 Br (F).
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
1 articles.
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1. Symbol length in positive characteristic;Journal of Pure and Applied Algebra;2024-06