Free group algebras in Malcev-Neumann skew fields of fractions

Details Free group algebras in Malcev-Neumann skew fields of fractions Free group algebras in Malcev-Neumann skew fields of fractions

2011-07-12

arxiv.org/abs/1107.2429v1

Mathematics

Rings and Algebras

Scientific paper

Let K be a skew field and (G,<) an ordered group. We show that the skew field
generated by the group ring K[G] inside the Malcev-Neumann series ring K((G;<))
contains noncommutative free group algebras.

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