| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 401558 | Journal of Symbolic Computation | 2006 | 14 Pages |
Abstract
Let K be a field and Γ a finite directed multi-graph. The focus of this paper is to offer a complete description of all path algebras KΓ and admissible orders with the property that all of their finitely generated ideals have finite Gröbner bases and of those which contain a finitely generated ideal whose Gröbner bases are all infinite.
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