Elimination Theory for Solvable Polynomial Algebras and Their Free Modules

Elimination Theory for Solvable Polynomial Algebras and Their Free Modules

Let \(K\) be a field, and \(A=K[a_1,\ldots ,a_n]\) a solvable polynomial algebra in the sense of [K-RW, {\it J. Symbolic Comput.}, 9(1990), 1--26]. Based on the Gr\"obner basis theory for \(A\) and for free modules over \(A\), an elimination theory for left ideals of \(A\) and an elimination th...

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Veröffentlicht in:arXiv.org 2019-01
1. Verfasser: Li, Huishi
Format: Artikel
Sprache:eng
Schlagworte:
Modules
Polynomials
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Zusammenfassung:Let \(K\) be a field, and \(A=K[a_1,\ldots ,a_n]\) a solvable polynomial algebra in the sense of [K-RW, {\it J. Symbolic Comput.}, 9(1990), 1--26]. Based on the Gr\"obner basis theory for \(A\) and for free modules over \(A\), an elimination theory for left ideals of \(A\) and an elimination theory for submodules of free \(A\)-modules are established.
ISSN:2331-8422