Using resultants for SAGBI basis verification in the univariate polynomial ring

Summary, in English

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.

• Författare: Anna Torstensson; Victor Ufnarovski; Hans Öfverbeck
• Avdelning/ar: Matematik LTH; Matematik (naturvetenskapliga fakulteten); Algebra
• Publiceringsår: 2005
• Språk: Engelska
• Sidor: 1087-1105
• Publikation/Tidskrift/Serie: Journal of Symbolic Computation
• Volym: 40
• Issue: 3
• Länkar: http://dx.doi.org/10.1016/j.jsc.2004.06.002
• Dokumenttyp: Artikel i tidskrift
• Förlag: Elsevier
• Ämne: Mathematics
• Nyckelord: subalgebra; reduction; SAGBI basis; resultant; univariate polynomial; ring
• Status: Published
• Forskningsgrupp: Algebra
• ISBN/ISSN/Övrigt: ISSN: 0747-7171