Details:
Title | | Author(s) | William W. Adams, Ann K. Boyle, Philippe Loustaunau | Type | Article in Journal | Abstract | Let R be a Noetherian integral domain which is graded by an ordered group G and let x be a set of n variables with a term order. It is shown that a finite subset F of R[x] is a weak (respectively strong) Grobner basis in R[x] graded by G x Z^n if and only if F is a weak Grobner basis in R[x] graded by {0} x Z^n and certain subsets of the set of leading coefficients of the elements of F form weak (respectively strong) Grobner bases in R. It is further shown that any G-graded ring R$ for which every ideal has a strong Grobner basis is isomorphic to k[x_1,...,x_n], where k is a PID. | Length | 17 | ISSN | 0747-7171 |
File |
| Language | English | Journal | Journal of Symbolic Computation | Volume | 15 | Number | 1 | Pages | 49-65 | Publisher | Academic Press, Inc. | Address | Duluth, MN, USA | Year | 1993 | Month | January | Translation |
No | Refereed |
No |
|