Galois theory, splitting fields and computer algebra
| Autor: | Gema M. Diaz-Toca |
|---|---|
| Rok vydání: | 2006 |
| Předmět: |
Effective Galois theory
Pure mathematics Algebra and Number Theory Splitting field Fundamental theorem of Galois theory Universal decomposition algebra Galois group Embedding problem Differential Galois theory Generic polynomial Algebra Computational Mathematics symbols.namesake ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION symbols Galois idempotents Separable polynomial Lazy computations Mathematics Resolvent |
| Zdroj: | Journal of Symbolic Computation. 41:1174-1186 |
| ISSN: | 0747-7171 |
| DOI: | 10.1016/j.jsc.2005.02.007 |
| Popis: | We provide some algorithms for dynamically obtaining both a possible representation of the splitting field and the Galois group of a given separable polynomial from its universal decomposition algebra. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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