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On pseudo-finite near-fields which have finite dimension over the centre
Published online by Cambridge University Press: 20 January 2009
Extract
In [1] J. Ax studied a class of fields with similar properties as finite fields called pseudo-finite fields. One can prove that pseudo-finite fields are precisely the infinite models of the first-order theory of finite fields. Similarly a near-field F is called pseudo-finite if F is an infinite model of the first-order theory of finite near-fields. The structure theory of these near-fields has been initiated by U. Feigner in [5].
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 32 , Issue 3 , October 1989 , pp. 371 - 375
- Copyright
- Copyright © Edinburgh Mathematical Society 1989