On the Relation between Pommaret and Janet Bases

@inproceedings{Gerdt2000OnTR,
  title={On the Relation between Pommaret and Janet Bases},
  author={Vladimir P. Gerdt},
  year={2000}
}
In this paper the relation between Pommaret and Janet bases of polynomial ideals is studied. It is proved that if an ideal has a finite Pommaret basis then the latter is a minimal Janet basis. An improved version of the related algorithm for computation of Janet bases, initially designed by Zharkov, is described. For an ideal with a finite Pommaret basis, the algorithm computes this basis. Otherwise, the algorithm computes a Janet basis which need not be minimal. The obtained results are… CONTINUE READING

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