Research Communication | Open Access
Volume 2019 | Communication ID 229
Volume 2019 | Communication ID 229
| The finiteness of the ring of constants problem |
Amine Jaid
Received |
Accepted |
Published |
Jan 31, 2019 |
Feb 26, 2019 |
Mar 01, 2019 |
Abstract: Let k be a field of characteristic zero and let A=k[x1,...,xn] be the polynomial ring over k, let d be a locally nilpotent k-derivation of A. An element a of A is said to be principal if d(a)=0. If d has no principal elements then the problem of the finiteness of ker(d) is difficult. In this work we present the algorithm of A. van den Essen, based on the theory of Gröbner bases which seems to be useful of a solution of this problem.