On SAGBI bases and resultants

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceedingpeer-review

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.
Original languageEnglish
Title of host publicationCommutative Algebra, Singularities and Computer Algebra
PublisherSpringer
Pages241-254
Volume115
Publication statusPublished - 2003
EventNATO Advanced Research Workshop on Commutative Algebra, Singularities and Computational Algebra - Sinaia, Romania
Duration: 2002 Sept 172002 Sept 22

Publication series

Name
Volume115

Conference

ConferenceNATO Advanced Research Workshop on Commutative Algebra, Singularities and Computational Algebra
Country/TerritoryRomania
CitySinaia
Period2002/09/172002/09/22

Subject classification (UKÄ)

  • Mathematics
  • Computer Vision and Robotics (Autonomous Systems)

Free keywords

  • subalgebra
  • reduction
  • SAGBI basis
  • resultant

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