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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

Peter Fuchs
Peter Fuchs
Affiliation:
Institut Für MathematikJohannes Kepler Universität4040 LinzAustria
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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

References

REFERENCES

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