On Chains Associated with Elements Algebraic over a Henselian Valued Field

DOI10.1142/S100538670500057XzbMath1090.12004OpenAlexW1965243083MaRDI QIDQ5714703

Kamal Aghigh, Sudesh Kaur Khanduja

Publication date: 15 December 2005

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s100538670500057x

zbMATH Keywords

invariantsvaluationsvalued fieldsnon-archimedean valued fieldsdistinguished chains

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Non-Archimedean valued fields (12J25) Valued fields (12J10)

Related Items (15)

Tame fields and distinguished pairs ⋮ Unnamed Item ⋮ Abstract key polynomials and distinguished pairs ⋮ Unnamed Item ⋮ On Construction of Saturated Distinguished Chains ⋮ Minimal pairs, minimal fields and implicit constant fields ⋮ THE MAIN INVARIANT OF A DEFECTLESS POLYNOMIAL ⋮ Key polynomials and distinguished pairs ⋮ On Limits of Sequences of Algebraic Elements over a Complete Field ⋮ Generalizations of Hensel's lemma and the nearest root method ⋮ Constructing complete distinguished chains with given invariants ⋮ INVARIANTS OF DEFECTLESS IRREDUCIBLE POLYNOMIALS ⋮ On Brown's constant associated with irreducible polynomials over Henselian valued fields ⋮ Defectless polynomials over Henselian fields and inductive valuations ⋮ Invariants of algebraic elements over Henselian fields

Cites Work

• On the structure of the irreducible polynomials over local fields
• On saturated distinguished chains over a local field
• On valuations of K(x)
• On a generalization of Eisenstein's irreducibility criterion
• A generalized fundamental principle
• On minimal pairs and residually transcendental extensions of valuations

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