Pseudo finite fields with the Laurent property

Moshe Jarden; Aharon Razon

doi:10.1080/00927872.2023.2248249

Pseudo finite fields with the Laurent property

Moshe Jarden^*, Aharon Razon

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Journal	Communications in Algebra
DOIs	https://doi.org/10.1080/00927872.2023.2248249
State	Accepted/In press - 2023

Keywords

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

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10.1080/00927872.2023.2248249

Cite this

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abstract = "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.).",

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KW - 12E30

KW - Laurent property

KW - PAC fields

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KW - ultra product of finite fields

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Pseudo finite fields with the Laurent property

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