Noether Bases and Their Applications
Co-author(s): Amir Hashemi and Hossein Parnian
Reference: Bulletin of the Iranian Mathematical Society, 45 (2019) 1283-1301
Description: We introduce a new involutive division, called Noether division, and discuss its use for computing Noether normalisations. It is shown that a finite Noether basis exists, if and only if the given ideal is in Noether position. We present a deterministic algorithm for transforming any ideal into Noether position based on the Noether division. Finally, we study the relationship to Rees decompositions.
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