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Combinatorial-algebraic techniques in Gröbner bases theory. (English) Zbl 0853.13015

Summary: In this article both (i) general conditions under which a system of evaluated differential forms generates a subspace \(H\) which determines a non-trivial ideal \(I\) as the maximal ideal contained in the kernel of all the forms in \(H\), and (ii) a handy canonical matrix representation of term orderings are given.

MSC:

13P10 Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)

Keywords:

Gröbner bases
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