Involutive bases of ideals in the ring of polynomials.

Autor: Astrelin, A., Golubitsky, O., Pankratiev, E.
Zdroj: Programming & Computer Software; Jan2000, Vol. 26 Issue 1, p31-35, 5p
Abstrakt: This paper continues the study of the relationship between Gröbner bases and involutive bases of polynomial ideals started in [1, 5]. Involutive bases are considered as Gröbner bases with some fixed normal form algorithms. It is shown that once the search order of critical pairs is coordinated, the same S-elements and their reductions appear in the same order in the process of the construction of Gröbner bases and involutive bases. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index