NDLI: Finitely Generated Extensions of Partial Difference Fields

Content Provider	Scilit
Author	Evanovich, Peter
Copyright Year	1984
Description	A proof of the following theorem is given: If $\mathcal {M}$ is a finitely generated extension of a partial difference field $\mathcal {K}$ then every subextension of $\mathcal {M}/\mathcal {K}$ is finitely generated. An integral measure of partial difference field extensions having properties similar to the dimension of field extensions and the limit degree of ordinary difference field extensions and a new method of computing transformal transcendence degree are developed.
Related Links	https://www.ams.org/tran/1984-281-02/S0002-9947-1984-0722775-X/S0002-9947-1984-0722775-X.pdf
Ending Page	811
Page Count	17
Starting Page	795
ISSN	00029947
e-ISSN	10886850
DOI	10.2307/2000086
Journal	Transactions of the American Mathematical Society
Issue Number	2
Volume Number	281
Language	English
Publisher	Duke University Press
Publisher Date	1984-02-01
Access Restriction	Open
Subject Keyword	Logic Difference Field Generated Extension Partial Difference Field Extensions Finitely Ordinary Subextension Theorem Transcendence
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Finitely Generated Extensions of Partial Difference Fields