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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| description | 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. |
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| subjects | Modules Polynomials |
| title | Elimination Theory for Solvable Polynomial Algebras and Their Free Modules |
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