Publication

Valuations with an infinite limit-depth

Journal Article (2024)

Journal

Communications in Algebra

Pages

359-370

Volume

52

Number

1

Doc link

https://doi.org/10.1080/00927872.2023.2241077

File

Download the digital copy of the doc pdf document

Authors

Abstract

We construct a field K and a valuation-algebraic valuation on K[x], whose underlying Maclane–Vaquié chain consists of an infinite (countable) number of limit augmentations.

Categories

mathematical programming, pattern classification.

Author keywords

key polynomial, limit-depth, MacLane-Vaquié chain, valuation

Scientific reference

M. Alberich-Carramiñana, J. Guàrdia, E. Nart and J. Roé. Valuations with an infinite limit-depth. Communications in Algebra, 52(1): 359-370, 2024.