4.2 Article

An FGLM-like algorithm for computing the radical of a zero-dimensional ideal

Journal

JOURNAL OF ALGEBRA AND ITS APPLICATIONS
Volume 17, Issue 1, Pages -

Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219498818500020

Keywords

Buchberger theory; ideal theoretical operations; FGLM-algorithm

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We present a linear algebra algorithm, which, given a zero-dimensional ideal via a good representation, produces a separating linear form, its radical, again given via the same good representation and also a Kronecker parametrization of it. As an irrelevant byproduct, if you like, you can also read a Grobner basis of the radical.

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