Details:
Title  On the Relation between Pommaret and Janet Bases  Author(s)  Vladimir P. Gerdt  Type  Article in Journal  Abstract  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 generalized to linear diffirential ideals.  Keywords  Pommaret basis, Janet basis, linear diffirential ideals  Length  15 
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http://invo.jinr.ru/papers.phtml 
Language  English  Year  2000  Edition  0  Translation 
No  Refereed 
No  Institution 
JINR (Joint Institute for Nuclear Research) 
