On characterizations of approximation types using MacLane–Vaquié chains
-
Published:2023-08-28
Issue:
Volume:
Page:
-
ISSN:0219-4988
-
Container-title:Journal of Algebra and Its Applications
-
language:en
-
Short-container-title:J. Algebra Appl.
Author:
Mavi Sneha1,
Bishnoi Anuj1
Affiliation:
1. Department of Mathematics, University of Delhi, Delhi 110007, India
Abstract
For a nontrivial approximation type [Formula: see text] over a valued field [Formula: see text] it is known that there is an extension [Formula: see text] of [Formula: see text] to [Formula: see text] such that [Formula: see text] is realized by [Formula: see text] in [Formula: see text] In this paper, we show that [Formula: see text] is determined by the first step [Formula: see text] of any MacLane–Vaquié chain of [Formula: see text] Also, the properties of [Formula: see text] as an approximation type are reflected in the valuative properties of [Formula: see text] and [Formula: see text]
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Algebra and Number Theory