Details:
| Title | | | Author(s) | William W. Adams, Ann K. Boyle | | Type | Article in Journal | | Abstract | Let F be a finite set of polynomials in A[x], where A is a commutative ring and x is a single variable. This paper is concerned with what properties are imposed on the coefficients of these polynomials if F is assumed to be a Grobner basis. When A=R[y] a polynomial ring in n variables over some commutative ring R, we characterize Grobner bases in R [y,x] in terms of Grobner bases in R[y][x] and Grobner bases in R[y]. We then address the question of lifting Grobner bases from A to A[x] by examining the relationship between Szekeres bases and Grobner bases. Finally we show that if A is a UFD, then, if the elements of F form a Grobner basis and are relatively prime, the same is true of the leading coefficients of the polynomials in F. | | ISSN | 0747-7171 |
| Language | English | | Journal | Journal of Symbolic Computation | | Volume | 13 | | Number | 5 | | Pages | 473-484 | | Publisher | Academic Press, Inc. | | Address | Duluth, MN, USA | | Year | 1992 | | Month | May | | Translation |
No | | Refereed |
No |
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