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On SAGBI bases and resultants

På svenska

Author

Summary, in English

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.

Publishing year

2003

Language

English

Pages

241-254

Publication/Series

Commutative Algebra, Singularities and Computer Algebra

Volume

115

Document type

Conference paper

Publisher

Springer

Topic

  • Mathematics
  • Computer Vision and Robotics (Autonomous Systems)

Keywords

  • subalgebra
  • reduction
  • SAGBI basis
  • resultant

Conference name

NATO Advanced Research Workshop on Commutative Algebra, Singularities and Computational Algebra

Conference date

2002-09-17 - 2002-09-22

Conference place

Sinaia, Romania

Status

Published

Research group

  • Algebra