A CHARACTERIZATION OF DEFECTLESS EXTENSIONS OF A HENSELIAN VALUED FIELD

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NIKSERESHT AZADEH; AGHIGH KAMAL

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Seminar Paper

Paper Information

Seminar: IRANIAN ALGEBRA SEMINAR
Year:2016 | Issue:25

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Title

A CHARACTERIZATION OF DEFECTLESS EXTENSIONS OF A HENSELIAN VALUED FIELD

Author(s)

NIKSERESHT AZADEH | AGHIGH KAMAL

Keywords

VALUED FIELDS

VALUATIONS AND THEIR GENERALIZATIONS

Abstract

LET (K, V) BE A HENSELIAN VALUED FIELD OF ARBITRARY RANK. A FINITE EXTENSION (K', V') OF (K, V) IS SAID TO BE DEFECTLESS IF [K': K] =E F, WHERE E AND F ARE, RESPECTIVELY, THE RAMIFICATION INDEX AND THE RESIDUAL DEGREE OF (K', V') / (K, V). DEFECTLESS EXTENSIONS HAVE BEEN EXTENSIVELY USED TO SOLVE MANY PROBLEMS IN VALUATION THEORY. IN THIS PAPER, WE EMPLOY THE NOTION OF COMPLETE DISTINGUISHED CHAINS TO GIVE A DIFFERENT CHARACTERIZATION OF DEFECTLESS EXTENSIONS OF A HENSELIAN VALUED FIELD.

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APA: Copy

NIKSERESHT, AZADEH, & AGHIGH, KAMAL. (2016). A CHARACTERIZATION OF DEFECTLESS EXTENSIONS OF A HENSELIAN VALUED FIELD. IRANIAN ALGEBRA SEMINAR. SID. https://sid.ir/paper/938705/en

Vancouver: Copy

NIKSERESHT AZADEH, AGHIGH KAMAL. A CHARACTERIZATION OF DEFECTLESS EXTENSIONS OF A HENSELIAN VALUED FIELD. 2016. Available from: https://sid.ir/paper/938705/en

IEEE: Copy

AZADEH NIKSERESHT, and KAMAL AGHIGH, “A CHARACTERIZATION OF DEFECTLESS EXTENSIONS OF A HENSELIAN VALUED FIELD,” presented at the IRANIAN ALGEBRA SEMINAR. 2016, [Online]. Available: https://sid.ir/paper/938705/en

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