Central simple algebras

P. M. Cohn
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P. M. Cohn: University College London, Department of Mathematics

Chapter 5 in Further Algebra and Applications, 2003, pp 179-219 from Springer

Abstract: Abstract Skew fields are more complicated than fields and much less is known about them. However, in the case of division algebras (the case of finite dimension over the centre) the situation is rather better. It is convenient to include full matrix rings over division algebras, thus our topic in Section 5.1 is essentially the class of simple Artinian rings. Although some of our results are proved in this generality we shall soon specialize to the finite-dimensional case over a field.

Date: 2003
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DOI: 10.1007/978-1-4471-0039-3_5

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