Using resultants for SAGBI basis verification in the univariate polynomial ring

Forskningsoutput: TidskriftsbidragArtikel i vetenskaplig tidskriftPeer review

Sammanfattning

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.
Originalspråkengelska
Sidor (från-till)1087-1105
TidskriftJournal of Symbolic Computation
Volym40
Utgåva3
DOI
StatusPublished - 2005

Ämnesklassifikation (UKÄ)

  • Matematik

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