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