Residual ideals of MacLane valuations
DOI10.1016/j.jalgebra.2014.12.022zbMath1317.13006arXiv1305.0775OpenAlexW2963458632MaRDI QIDQ2259148
Julio Fernández, Jesús Montes, Enric Nart Viñals, Jordi Guárdia i Rúbies
Publication date: 27 February 2015
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1305.0775
Newton polygonvaluationkey polynomialMacLane chainresidual polynomialaugmentation of valuationgraded algebra of valuationMacLane's inductive valuationsOkutsu invariantsresidual ideal
Valuations and their generalizations for commutative rings (13A18) Valued fields (12J10) Complete rings, completion (13J10) Polynomials (11S05)
Related Items (6)
Cites Work
- A new computational approach to ideal theory in number fields
- Construction of integral basis. II
- Extensions de valuation et polygone de Newton
- On the structure of the irreducible polynomials over local fields
- Admissible family of valuations and defect of an extension.
- Valuations in algebraic field extensions
- Genetics of polynomials over local fields
- Okutsu invariants and Newton polygons
- Extension d’une valuation
- Newton polygons of higher order in algebraic number theory
- Local computation of differents and discriminants
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