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Generic Splitting Fields of Central Simple Algebras
The Annals of Mathematics, 1955if 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. ?
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A Double-Centralizer Theorem for Simple Associative Algebras
Canadian Journal of Mathematics, 1969Consider 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.
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Prescribed behavior of central simple algebras after scalar extension
Journal of Algebra, 2012Sergey Tikhonov
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A Decomposition Theorem for CK1of Central Simple Algebras
Communications in Algebra, 2006Roozbeh Hazrat
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Strongly Anisotropic Involutions on Central Simple Algebras
Communications in Algebra, 2011Amit Kulshrestha
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Cohomological invariants of central simple algebras of degree 4
Archiv Der Mathematik, 2012Sanghoon Baek
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Commutativity preserving linear maps on central simple algebras
Journal of Algebra, 2005Matej Brešar, Peter Šemrl
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Extending Rings of Prüfer Type in Central Simple Algebras
Algebras and Representation Theory, 2007Joachim Grater
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