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TitleOn the Relation between Pommaret and Janet Bases
Author(s) Vladimir P. Gerdt
TypeArticle in Journal
AbstractIn 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.
KeywordsPommaret basis, Janet basis, linear diffirential ideals
URL http://invo.jinr.ru/papers.phtml
Translation No
Refereed No
Institution JINR (Joint Institute for Nuclear Research)