Dasgupta, Nikhilesh ; Gupta, Neena (2018) Nice derivations over principal ideal domains Journal of Pure and Applied Algebra, 222 (12). pp. 4161-4172. ISSN 0022-4049
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Official URL: http://doi.org/10.1016/j.jpaa.2018.02.025
Related URL: http://dx.doi.org/10.1016/j.jpaa.2018.02.025
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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 121175 |
| Deposited On: | 12 Jul 2021 10:20 |
| Last Modified: | 12 Jul 2021 10:20 |
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