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 |