On SAGBI bases and resultants
(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:
https://lup.lub.lu.se/record/1406888
- author
- Torstensson, Anna LU ; Ufnarovski, Victor LU and Öfverbeck, Hans LU
- organization
- publishing date
- 2003
- 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}}, }