p-algebras over an algebraic function field over a perfect field
type: Item
instance of: scholarly article
title: p-algebras over an algebraic function field over a perfect field
zbMATH Open document ID: 0614.16013
DOI: 10.1016/0021-8693(86)90190-0
author: Ming-Chang Kang
published in: Journal of Algebra
publication date: 1986-01-01T00:00:00Z
review text: Verf. beweist folgenden Satz: Sei K ein algebraischer Funktionen-Körper in r Variablen über einem vollkommenen Körper. Jede p-Algebra A über K ist Brauer-äquivalent dem Kroneckerprodukt von r zyklischen Divisionsalgebren \(D_ i\) mit Exponent \(D_ i=Index D_ i\) und Exponent \(D_ i\leq Exponent A\). Für \(r=1\) ist das ein bekannter Satz von A. A. Albert.
Mathematics Subject Classification ID: 16Kxx
Mathematics Subject Classification ID: 16H05
Mathematics Subject Classification ID: 11R58
Mathematics Subject Classification ID: 16P10
Mathematics Subject Classification ID: 14F22
Mathematics Subject Classification ID: 16D70
zbMATH DE Number: 3993786
zbMATH Keywords: algebraic function field
zbMATH Keywords: p-algebras over a perfect field
zbMATH Keywords: cyclic division algebras
zbMATH Keywords: exponent
zbMATH Keywords: index
zbMATH Keywords: Brauer classes
zbMATH Keywords: central simple K- algebra
reviewed by: Sigurd Elliger
MaRDI profile type: Publication
full work available at URL: 0021-8693(86)90190-0
OpenAlex ID: W2091594034
cites work: 𝑝-algebras over a field generated by one indeterminate
cites work: Division algebras over a function field
cites work: A structure theory for Jordan algebras
cites work: Generic Abelian crossed products and \(p\)-algebras
cites work: Q3963168
cites work: Central Separable Algebras with Purely Inseparable Splitting Rings of Exponent One
description: scientific article; zbMATH DE number 3993786