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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 In Commutative Algebra, Singularities and Computer 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.
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author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
subalgebra, reduction, SAGBI basis, resultant
in
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
external identifiers
  • WOS:000186817100015
language
English
LU publication?
yes
id
46be3702-2ac0-49de-8aa0-c2357abbd839 (old id 1406888)
date added to LUP
2009-06-03 16:21:19
date last changed
2016-04-16 09:18:59
@misc{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},
  keyword      = {subalgebra,reduction,SAGBI basis,resultant},
  language     = {eng},
  pages        = {241--254},
  publisher    = {ARRAY(0x99cf0a0)},
  series       = {Commutative Algebra, Singularities and Computer Algebra},
  title        = {On SAGBI bases and resultants},
  volume       = {115},
  year         = {2003},
}