Our aim in this paper is to improve on the algorithms for the computation of SAGBI and SAGBI-GrΓΆbner for subalgebras of polynomial rings in the special case where the base ring is a principal ideal domain. In addition we will show the existence in general of strong SAGBI bases (the natural analogue
β¦ LIBER β¦
SAGBI Bases Under Composition
β Scribed by Patrik Nordbeck
- Book ID
- 102600883
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 232 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0747-7171
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β¦ Synopsis
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 Ξ of polynomials to assure that the set F β’ Ξ of composed polynomials is a SAGBI basis whenever F is.
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