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A NOTE ON GROUP IDENTITIES IN DIVISION RINGS
Published online by Cambridge University Press: 09 November 2004
Abstract
Let $D$ be a division ring whose group of units satisfies a non-trivial group identity $w$. Let $\alpha$ be the sum of positive degrees of indeterminates occurring in $w$. If the centre of $D$ contains more than $3\alpha$ elements, then $D$ is commutative.
AMS 2000 Mathematics subject classification: Primary 16R50. Secondary 16K20
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 47 , Issue 3 , October 2004 , pp. 557 - 560
- Copyright
- Copyright © Edinburgh Mathematical Society 2004
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