Finitely generated extensions of partial difference fields
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- by Peter Evanovich PDF
- Trans. Amer. Math. Soc. 281 (1984), 795-811 Request permission
Abstract:
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.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 281 (1984), 795-811
- MSC: Primary 12H10; Secondary 12F99
- DOI: https://doi.org/10.1090/S0002-9947-1984-0722775-X
- MathSciNet review: 722775