| Title | Grobner Bases and Primary Decomposition in Polynomial Rings in One Variable over Dedekind Domanins |
| Author(s) | William W. Adams, Philippe Loustaunau |
| Type | Article in Journal |
| Abstract | Let D be a Dedekind domain with quotient field K, let x be a single variable, and let I be an ideal in D[x]. In this paper we describe explicitly the structure of a Grobner basis for I and we will use this Grobner basis to compute the primary decomposition of I. This Grobner basis also has a property similar to that of strong Grobner bases over PID's. |
| Length | 15 |
| Copyright | Elsevier Science B.V. |
| File |
|
| URL |
dx.doi.org/10.1016/S0022-4049(96)00052-7 |
| Language | English |
| Journal | Journal of Pure and Applied Algebra |
| Volume | 121 |
| Number | 1 |
| Pages | 1-15 |
| Publisher | Elsevier Science B.V. |
| Year | 1997 |
| Month | September |
| Translation |
No |
| Refereed |
No |
