Details:
Title | | Author(s) | , Rainer Steinwandt | Type | Article in Journal | Abstract | Using a constructive field-ideal correspondence it is shown how to compute the transcendence degree and a (separating) transcendence basis of finitely generated field extensionsk(x) / k(g), resp. how to determine the (separable)degree if k(x) / k(g) is algebraic. Moreover, this correspondence is used to derive a method for computing minimal polynomials and deciding field membership. Finally, a connection between certain intermediate fields of k(x) / k(g) and a minimal primary decomposition of a suitable ideal is described. For Galois extensions the field-ideal correspondence can also be used to determine the elements of the Galois group. | Length | 22 | ISSN | 0747-7171 | Copyright | Academic Press |
File |
| URL |
dx.doi.org/10.1006/jsco.1999.0417 |
Language | English | Journal | Journal of Symbolic Computation | Volume | 30 | Number | 4 | Pages | 469-490 | Publisher | Academic Press, Inc. | Address | Duluth, MN, USA | Year | 2000 | Month | October | Translation |
No | Refereed |
No |
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