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Noether Bases and Their Applications
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| 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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