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Journal of the London Mathematical Society 1988 s2-37(3):395-403; doi:10.1112/jlms/s2-37.3.395
© 1988 by London Mathematical Society
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© Oxford University Press

Algebraic Functions Over a Field of Positive Characteristic and Hadamard Products

Habib Sharif and Christopher F. Woodcock

Mathematical Institute Cornwallis Building The University Canterbury, Kent CT2 7NF

Received 3 November 1986.

We give a characterization of algebraic functions over a field of positive characteristic and we then deduce that the Hadamard product of two algebraic series in several commutative variables over a field of positive characteristic is again algebraic.


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