On the non-uniqueness of maximal purely wild extensions

2020/11/17 by Dutta, Arpan · 1 citation
#Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2011.09310

Abstract

In this paper we illustrate certain criteria which are sufficient for a henselian valued field to admit non-isomorphic maximal purely wild extensions.

Cited by

• Purity and distances between conjugates of elements over henselian valued fields

Related

• Wildly primitive extensions
• The algebra and model theory of tame valued fields
• The model theory of separably tame valued fields
• Generalization of Abhyankar's Lemma to henselian valued fields
• Algebraic independence of elements in immediate extensions of valued fields