Monomial discrete valuations in k[[X]]

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Let v be a rank m discrete valuation of k[[X1,...,Xn]] with dimension n-m. We prove that there exists an inmediate extension L of K where the valuation is monomial. Therefore we compute explicitly the residue field of the valuation.

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Commutative Algebra, Algebraic Geometry, 12J20; 13A18

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http://salesiana.dossiersoluciones.com/handle/123456789/68102

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0307238
 http://arxiv.org/abs/math/0307238

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arXiv