Using resultants for SAGBI basis verification in the univariate polynomial ring
Torstensson, Anna; Ufnarovski, Victor; Öfverbeck, Hans (2005). Using resultants for SAGBI basis verification in the univariate polynomial ring. Journal of Symbolic Computation, 40, (3), 1087 - 1105
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Published
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English
Authors:
Torstensson, Anna
;
Ufnarovski, Victor
;
Öfverbeck, Hans
Department:
Mathematics (Faculty of Engineering)
Mathematics (Faculty of Sciences)
Algebra
Abstract:
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.
Keywords:
subalgebra ;
reduction ;
SAGBI basis ;
resultant ;
univariate polynomial ;
ring
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