On SAGBI bases and resultants
Torstensson, Anna; Ufnarovski, Victor; Öfverbeck, Hans (2003). On SAGBI bases and resultants Commutative Algebra, Singularities and Computer Algebra, 115,, 241 - 254. NATO Advanced Research Workshop on Commutative Algebra, Singularities and Computational Algebra. Sinaia, Romania: Springer
Conference Proceeding/Paper
|
Published
|
English
Authors:
Torstensson, Anna
;
Ufnarovski, Victor
;
Öfverbeck, Hans
Department:
Mathematics (Faculty of Engineering)
Centre for Mathematical Sciences
Algebra
Abstract:
A resultant-type identity for univariate polynomials is proved and applied to characterization of SAGBI bases of subalgebras, generated by two polynomials. Besides a new condition for polynomials f(x) and g(x) to form a SAGBI basis, expressed in terms of field extensions is derived.
Keywords:
subalgebra ;
reduction ;
SAGBI basis ;
resultant ;
Mathematics ;
Computer Vision and Robotics (Autonomous Systems)
Cite this