Details:
| Title | Using resultants for SAGBI basis verification in the univariate polynomial ring | | Author(s) | Anna Torstensson, Victor Ufnarovski, Hans | | Type | Article in Journal | | Abstract | A resultant-type identity for univariate polynomials is proved and used to characterise SAGBI bases of subalgebras generated by two polynomials. A new equivalent condition, expressed in terms of the degree of a field extension, for a pair of univariate polynomials to form a SAGBI basis is derived. | | Keywords | SAGBI basis, Resultant, Reduction, Subalgebra, Univariate polynomial ring | | ISSN | 0747-7171 |
| URL |
http://www.sciencedirect.com/science/article/pii/S0747717105000775 |
| Language | English | | Journal | Journal of Symbolic Computation | | Volume | 40 | | Number | 3 | | Pages | 1087 - 1105 | | Year | 2005 | | Edition | 0 | | Translation |
No | | Refereed |
No |
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