On the Relation Between Pommaret and Janet Bases
Gerdt, Vladimir P.
arXiv, 0004100 / Harvested from arXiv
Text on arXiv
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 differential ideals.
Publié le : 2000-04-15
Classification:  Mathematics - Commutative Algebra,  Mathematical Physics,  Mathematics - Analysis of PDEs,  Mathematics - Numerical Analysis,  Mathematics - Rings and Algebras 
@article{0004100,
     author = {Gerdt, Vladimir P.},
     title = {On the Relation Between Pommaret and Janet Bases},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0004100}
}

Gerdt, Vladimir P. On the Relation Between Pommaret and Janet Bases. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0004100/