MAC LANE–VAQUIÉ CHAINS AND VALUATION-TRANSCENDENTAL EXTENSIONS

Sneha Mavi; Anuj Bishnoi

doi:10.1216/jca.2023.15.249

Abstract

For a valued field $(K,v)$ of arbitrary rank and an extension $w$ of $v$ to $K(X)$ , we give a connection between complete sets of abstract key polynomails for $w$ and Mac Lane–Vaquié chains of $w$ .

Citation

Download Citation

Sneha Mavi. Anuj Bishnoi. "MAC LANE–VAQUIÉ CHAINS AND VALUATION-TRANSCENDENTAL EXTENSIONS." J. Commut. Algebra 15 (2) 249 - 259, Summer 2023. https://doi.org/10.1216/jca.2023.15.249

Information

Received: 25 June 2022; Revised: 31 August 2022; Accepted: 16 September 2022; Published: Summer 2023

First available in Project Euclid: 29 June 2023

MathSciNet: MR4611110

zbMATH: 07725185

Digital Object Identifier: 10.1216/jca.2023.15.249

Subjects:

Primary: 12F20 , 12J10 , 13A18

Keywords: abstract key polynomials , key polynomials , Mac Lane–Vaquié chains

Abstract

Citation

Information

KEYWORDS/PHRASES

PUBLICATION TITLE:

PUBLICATION YEARS