On Sagbi Bases and Resultants

Autor: Anna Torstensson, Hans Öfverbeck, Victor Ufnarovski
Rok vydání: 2003
Předmět:
Zdroj: Commutative Algebra, Singularities and Computer Algebra ISBN: 9781402014871
DOI: 10.1007/978-94-007-1092-4_15
Popis: 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.
Databáze: OpenAIRE