Pseudo finite fields with the Laurent property

Moshe Jarden*, Aharon Razon

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We construct an algebraic extension F of (Formula presented.) which is pseudo finite and has the “Laurent property”. In addition, F has an extension (Formula presented.) which is a non-principal ultraproduct of distinct finite fields (so (Formula presented.) is pseudo finite), (Formula presented.) has the Laurent property, and F is the algebraic part of (Formula presented.).

Original languageEnglish
JournalCommunications in Algebra
StateAccepted/In press - 2023


  • 12E30
  • Laurent property
  • PAC fields
  • pseudo finite fields
  • ultra product of finite fields


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