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On SAGBI bases and resultants

Torstensson, Anna LU ; Ufnarovski, Victor LU and Öfverbeck, Hans LU (2003) NATO Advanced Research Workshop on Commutative Algebra, Singularities and Computational Algebra 115. p.241-254
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.
Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
subalgebra, reduction, SAGBI basis, resultant
host publication
Commutative Algebra, Singularities and Computer Algebra
volume
115
pages
241 - 254
publisher
Springer
conference name
NATO Advanced Research Workshop on Commutative Algebra, Singularities and Computational Algebra
conference location
Sinaia, Romania
conference dates
2002-09-17 - 2002-09-22
external identifiers
  • wos:000186817100015
language
English
LU publication?
yes
id
46be3702-2ac0-49de-8aa0-c2357abbd839 (old id 1406888)
date added to LUP
2016-04-04 11:29:58
date last changed
2018-11-21 21:05:14
@inproceedings{46be3702-2ac0-49de-8aa0-c2357abbd839,
  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.}},
  author       = {{Torstensson, Anna and Ufnarovski, Victor and Öfverbeck, Hans}},
  booktitle    = {{Commutative Algebra, Singularities and Computer Algebra}},
  keywords     = {{subalgebra; reduction; SAGBI basis; resultant}},
  language     = {{eng}},
  pages        = {{241--254}},
  publisher    = {{Springer}},
  title        = {{On SAGBI bases and resultants}},
  volume       = {{115}},
  year         = {{2003}},
}