Nice derivations over principal ideal domains

Authors

Nikhilesh Dasgupta, Indian Statistical Institute, Kolkata
Neena Gupta, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Journal of Pure and Applied Algebra

Abstract

In this paper we investigate to what extent the results of Z. Wang and D. Daigle on “nice derivations” of the polynomial ring k[X,Y,Z] over a field k of characteristic zero extend to the polynomial ring R[X,Y,Z] over a PID R, containing the field of rational numbers. One of our results shows that the kernel of a nice derivation on k[X1,X2,X3,X4] of rank at most three is a polynomial ring over k.

First Page

4161

Last Page

4172

DOI

10.1016/j.jpaa.2018.02.025

Publication Date

12-1-2018

Comments

All Open Access, Green

Recommended Citation

Dasgupta, Nikhilesh and Gupta, Neena, "Nice derivations over principal ideal domains" (2018). Journal Articles. 1149.
https://digitalcommons.isical.ac.in/journal-articles/1149