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SAGBI bases under composition

Nordbeck, Patrik LU (2002) In Journal of Symbolic Computation 33(1). p.67-76
Abstract
Polynomial composition is the operation of replacing the variables in a polynomial with other polynomials. In this paper we give a sufficient and necessary condition on a set Theta of polynomials to assure that the set F circle Theta of composed polynomials is a SAGBI basis whenever F is.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Symbolic Computation
volume
33
issue
1
pages
67 - 76
publisher
Academic Press
external identifiers
  • wos:000173471000006
  • scopus:0036150598
ISSN
0747-7171
DOI
10.1006/jsco.2001.0498
language
English
LU publication?
yes
id
8a26c523-190d-4387-b684-695d160adf02 (old id 344411)
date added to LUP
2016-04-01 16:43:03
date last changed
2025-10-14 10:21:28
@article{8a26c523-190d-4387-b684-695d160adf02,
  abstract     = {{Polynomial composition is the operation of replacing the variables in a polynomial with other polynomials. In this paper we give a sufficient and necessary condition on a set Theta of polynomials to assure that the set F circle Theta of composed polynomials is a SAGBI basis whenever F is.}},
  author       = {{Nordbeck, Patrik}},
  issn         = {{0747-7171}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{67--76}},
  publisher    = {{Academic Press}},
  series       = {{Journal of Symbolic Computation}},
  title        = {{SAGBI bases under composition}},
  url          = {{http://dx.doi.org/10.1006/jsco.2001.0498}},
  doi          = {{10.1006/jsco.2001.0498}},
  volume       = {{33}},
  year         = {{2002}},
}