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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
File
URL	http://invo.jinr.ru/papers.phtml
Language	English
Year	2000
Edition	0
Translation	No
Refereed	No
Institution	JINR (Joint Institute for Nuclear Research)