The Algebraic Closure of the Power Series Field in Positive Characteristic

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We answer a question of Abhyankar by constructing an algebraic closure of the field of power series over a field of positive characteristic, using "generalized power series". (The corresponding construction in characteristic 0 dates back to Newton.)
12 pages; uses AMSLaTeX. Added and corrected various corollaries

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Algebraic Geometry, Commutative Algebra, Rings and Algebras, 12F05 (Primary) 14Q05 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/77602

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9810142
 http://arxiv.org/abs/math/9810142

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arXiv