The tangent cone of an algebraic variety in a singular point (w.l.o.g. the origin) is the cone which is the best approximation of the variety near the point. From an algebraic point ofâ€¦ (More)

Applicable Algebra in Engineering, Communicationâ€¦

2003

â€‚A trick introduced by Macaulay, in order to blow up a monomial ideal into a point ideal whose maximal ideal is the given monomia ideal, is sligtly generalized to allow to write down a GrÃ¶bner basisâ€¦ (More)

It is well-known that each effective associative ring with identity is endowed with a Buchberger Theory, <i>id est</i> a notion of Gröbner bases and related algorithms. This note is a sort ofâ€¦ (More)

More generally, while the classical algorithm has in every case the worst complexity, Buchberger's algorithm behaves in such a way that its complexity directly depends on the inner complexity of theâ€¦ (More)