Mal'cev-Neumann rings and noncrossed product division algebras

Details Mal'cev-Neumann rings and noncrossed product division algebras Mal'cev-Neumann rings and noncrossed product division algebras

2011-03-02

arxiv.org/abs/1103.0470v1

Mathematics

Rings and Algebras

10 pages, submitted to Journal of Algebra and its Applications (JAA)

Scientific paper

We first give a sufficient condition for a Mal'cev-Neumann ring of formal
series to be a noncrossed product division algebra. This result is then used to
give an elementary proof of the existence of noncrossed product division
algebras (of degree 8 or degree p^2 for p any odd prime).

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