Using resultants for SAGBI basis verification in the univariate polynomial ring
Författare
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.
Avdelning/ar
Publiceringsår
2005
Språk
Engelska
Sidor
1087-1105
Publikation/Tidskrift/Serie
Journal of Symbolic Computation
Volym
40
Issue
3
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