On the non-existence of cyclic splitting fields for division algebras
type: Item
instance of: scholarly article
title: On the non-existence of cyclic splitting fields for division algebras
zbMATH Open document ID: 1427.16013
author: M. Motiee
published in: Forum Mathematicum
publication date: 2018-04-13T00:00:00Z
Mathematics Subject Classification ID: 16K20
Mathematics Subject Classification ID: 11R52
Mathematics Subject Classification ID: 16W60
zbMATH DE Number: 6859562
zbMATH Keywords: division algebra
zbMATH Keywords: splitting field
zbMATH Keywords: valuation
MaRDI profile type: Publication
full work available at URL: forum-2016-0121
OpenAlex ID: W2970222160
cites work: On central division algebras
cites work: Generic Abelian crossed products and \(p\)-algebras
cites work: Q3963168
cites work: \(\text{SK}_1\) of graded division algebras.
cites work: Correspondences between valued division algebras and graded division algebras
cites work: Division algebras over Henselian fields.
cites work: Generic construction of non-cyclic division algebras
cites work: Non-cyclic algebras with 𝑛-central elements
cites work: The Henselization of a valued division algebra
cites work: On torsion subgroups of Whitehead groups of division algebras.
cites work: Q3961610
cites work: Q4122051
cites work: Non-cyclic division algebras
cites work: Totally Ramified Valuations on Finite-Dimensional Division Algebras
cites work: Value Functions on Simple Algebras, and Associated Graded Rings
cites work: Q3485016
DOI: 10.1515/FORUM-2016-0121
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description: scientific article; zbMATH DE number 6859562