An algebraic characterization of the affine three space

Nikhilesh Dasgupta; Neena Gupta

doi:10.1216/jca.2021.13.333

Abstract

We give algebraic characterizations of the affine $2$ -space and the affine $3$ -space over an algebraically closed field of characteristic zero, using a variant of the Makar-Limanov invariant.

Citation

Download Citation

Nikhilesh Dasgupta. Neena Gupta. "An algebraic characterization of the affine three space." J. Commut. Algebra 13 (3) 333 - 345, Fall 2021. https://doi.org/10.1216/jca.2021.13.333

Information

Received: 23 October 2017; Revised: 14 May 2018; Accepted: 20 May 2018; Published: Fall 2021

First available in Project Euclid: 18 January 2022

MathSciNet: MR4366825

zbMATH: 1487.14132

Digital Object Identifier: 10.1216/jca.2021.13.333

Subjects:

Primary: 00A05 , 14R10

Secondary: 13A50 , 13F20 , 13N15 , 14R20

Keywords: Locally nilpotent derivation , Makar-Limanov invariant , polynomial rings

Abstract

Citation

Information

KEYWORDS/PHRASES

PUBLICATION TITLE:

PUBLICATION YEARS