Using resultants for SAGBI basis verification in the univariate polynomial ring

• Autores: Anna Torstensson, Victor Ufnarovski, Hans Öfverbeck
• Localización: Journal of symbolic computation, ISSN 0747-7171, Vol. 40, Nº 3, 2005, págs. 1087-1105
• Idioma: inglés
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• Resumen

  • A resultant-type identity for univariate polynomials is proved and used to characterise SAGBI bases of subalgebras generated by two polynomials. A new equivalent condition, expressed in terms of the degree of a field extension, for a pair of univariate polynomials to form a SAGBI basis is derived.