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Archiv der Mathematik

, Volume 87, Issue 6, pp 530–538 | Cite as

Finitely arithmetically fixed elements of a field

  • Günter Lettl
Article
  • 41 Downloads

Abstract.

An element r of a field L will be called finitely arithmetically fixed (f.a.f.) if there exists some finite subset A of L containing r such that every map f from A to L which behaves “like a homomorphism” on A, leaves r fixed. This notion will be generalized to a relative one for any field extension L/K, and several results describing the set of f.a.f. elements are obtained.

Mathematics Subject Classification (2000).

Primary 12F10 Secondary 12J10 

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Copyright information

© Birkhäuser Verlag, Basel 2006

Authors and Affiliations

  1. 1.Institut für Mathematik und wissenschaftliches RechnenKarl-Franzens-UniversitätGrazAustria

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