Gröbner finite path algebras

• Autores: Micah J. Leamer
• Localización: Journal of symbolic computation, ISSN 0747-7171, Vol. 41, Nº 1, 2006, págs. 98-111
• Idioma: inglés
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• Resumen

  • Let K be a field and G a finite directed multi-graph. The focus of this paper is to offer a complete description of all path algebras KG 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.