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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

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: 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
PII: S 0002-9947(1976)0414546-4
Keywords: Local domain, analytic independence, Hasse derivative, power series, automorphism, integral extension
Article copyright: © Copyright 1976 American Mathematical Society