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DC Field | Value | Language |
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dc.contributor.author | Fernández González, Julio | - |
dc.contributor.author | Guàrdia, Jordi | - |
dc.contributor.author | Montes, Jesús | - |
dc.contributor.author | Nart, Enric | - |
dc.date.accessioned | 2020-06-16T17:25:00Z | - |
dc.date.available | 2020-06-16T17:25:00Z | - |
dc.date.issued | 2015-04 | - |
dc.identifier.issn | 0021-8693 | - |
dc.identifier.uri | http://hdl.handle.net/2445/165873 | - |
dc.description.abstract | Let $K$ be a field equipped with a discrete valuation $v$. In a pioneering work, S. MacLane determined all extensions of $v$ to discrete valuations on $K(x)$. His work was recently reviewed and generalized by M. Vaquié, by using the graded algebra of a valuation. We extend Vaquié's approach by studying residual ideals of the graded algebra of a valuation as an abstract counterpart of certain residual polynomials which play a key role in the computational applications of the theory. As a consequence, we determine the structure of the graded algebra of any discrete valuation on $K(x)$ and we show how these valuations may be used to parameterize irreducible polynomials over local fields up to Okutsu equivalence. | - |
dc.format.extent | 46 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Elsevier | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.1016/j.jalgebra.2014.12.022 | - |
dc.relation.ispartof | Journal of Algebra, 2015, vol. 427, p. 30-75 | - |
dc.relation.uri | https://doi.org/10.1016/j.jalgebra.2014.12.022 | - |
dc.rights | (c) Elsevier, 2015 | - |
dc.source | Articles publicats en revistes (Matemàtica Econòmica, Financera i Actuarial) | - |
dc.subject.classification | Àlgebra | - |
dc.subject.classification | Aritmètica computacional | - |
dc.subject.other | Algebra | - |
dc.subject.other | Computer arithmetic | - |
dc.title | Residual ideals of MacLane valuations | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 645823 | - |
dc.date.updated | 2020-06-16T17:25:00Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtica Econòmica, Financera i Actuarial) |
Files in This Item:
File | Description | Size | Format | |
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645823.pdf | 505.21 kB | Adobe PDF | View/Open |
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