Key polynomials over valued fields
Nart, Enric (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2020
Abstract:	Let K be a field. For any valuation µ on K[x] admitting key polynomials we determine the structure of the whole set of key polynomials in terms of a fixed key polynomial of minimal degree. We deduce a canonical bijection between the set of µ-equivalence classes of key polynomials and the maximal spectrum of the subring of elements of degree zero in the graded algebra of µ.
Grants:	Ministerio de Educación y Ciencia MTM2016-75980-P
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Graded algebra ; Key polynomial ; Maclane chain ; Residual ideal ; Residual polynomial ; Valuation
Published in:	Publicacions matemàtiques, Vol. 64 Núm. 1 (2020) , p. 195-232, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/362894
DOI: 10.5565/PUBLMAT6412009

38 p, 453.2 KB

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