Constructing complete distinguished chains with given invariants

DOI10.1142/S0219498815500267zbMath1320.12007MaRDI QIDQ5175426

Kamal Aghigh, Azadeh Nikseresht

Publication date: 23 February 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

polynomialsvalued fieldsnon-Archimedean valued fields

Mathematics Subject Classification ID

Polynomials in general fields (irreducibility, etc.) (12E05) Non-Archimedean valued fields (12J25) Valued fields (12J10)

Related Items (5)

Tame fields and distinguished pairs ⋮ Unnamed Item ⋮ Abstract key polynomials and distinguished pairs ⋮ Unnamed Item ⋮ Key polynomials and distinguished pairs

Cites Work

• Unnamed Item
• A theorem of characterization of residual transcendental extensions of a valuation
• Minimal pairs of definition of a residual transcendental extension of a valuation
• On the structure of the irreducible polynomials over local fields
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• On a generalization of Eisenstein's irreducibility criterion
• Difference polynomials and their generalizations
• A generalized fundamental principle
• ON THE MAIN INVARIANT OF ELEMENTS ALGEBRAIC OVER A HENSELIAN VALUED FIELD
• On extensions generated by roots of lifting polynomials
• ON LIFTINGS OF POWERS OF IRREDUCIBLE POLYNOMIALS
• INVARIANTS OF DEFECTLESS IRREDUCIBLE POLYNOMIALS
• On Chains Associated with Elements Algebraic over a Henselian Valued Field

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