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Generic Splitting Fields of Central Simple Algebras

The Annals of Mathematics, 1955
if and only if 5F splits W[. The extension of this result is the main object of the present paper. In contrast with the method of Witt, which uses the theory of the arithmetics of these function fields, the present method aims to obtain a generic condition forafield to split a given c.s.a. 2I. It is shown that to every c.s.a. ?
openaire   +2 more sources

A Double-Centralizer Theorem for Simple Associative Algebras

Canadian Journal of Mathematics, 1969
Consider the following result.PROPOSITION. Let D be a finite-dimensional central division algebra over a field F, and let Dn be the algebra (over F) of all n × n matrices with entries in D. Let A and B be in Dn, and suppose that BX = XB for every X in Dn such that XA = AX.
openaire   +2 more sources

Central simple algebras

2013
Grégory Berhuy, Frédérique Oggier
openaire   +1 more source

A Decomposition Theorem for CK1of Central Simple Algebras

Communications in Algebra, 2006
Roozbeh Hazrat
exaly  

Strongly Anisotropic Involutions on Central Simple Algebras

Communications in Algebra, 2011
Amit Kulshrestha
exaly  

Cohomological invariants of central simple algebras of degree 4

Archiv Der Mathematik, 2012
Sanghoon Baek
exaly  

Commutativity preserving linear maps on central simple algebras

Journal of Algebra, 2005
Matej Brešar, Peter Šemrl
exaly  

Extending Rings of Prüfer Type in Central Simple Algebras

Algebras and Representation Theory, 2007
Joachim Grater
exaly  

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