On analytic independence

Authors:
S. S. Abhyankar and T. T. Moh

Journal:
Trans. Amer. Math. Soc. **219** (1976), 77-87

MSC:
Primary 13J05; Secondary 14E10

MathSciNet review:
0414546

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Abstract | References | Similar Articles | Additional Information

Abstract: This article examines the concept of ``analytic independence". Several illustrative examples have been included. The main results are Theorems 1-4 which state the relations between analytic independence and the degree of field extensions, transcendence degree, order of poles and ``gap'' respectively.

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Additional Information

DOI:
http://dx.doi.org/10.1090/S0002-9947-1976-0414546-4

Keywords:
Local domain,
analytic independence,
Hasse derivative,
power series,
automorphism,
integral extension

Article copyright:
© Copyright 1976
American Mathematical Society