KREUZER M

The main topic of this book is that of Groebner bases and their applications. The main purpose of this book is that of bridging the current gap in the literature between theory and real computation. The book can be used by teachers and students alike as a comprehensive guide to both the theory and the practice of Computational Commutative...

In the computation of a Gr\"obner basis using Buchberger's algorithm, a key issue for improving the efficiency is to produce techniques for avoiding as many unnecessary critical pairs as possible. A good solution would be to avoid {\it all}\/ non-minimal critical pairs, and hence to process only a {\it minimal set of generators}\/ of the...

This paper generalizes the Buchberger-M\"oller algorithm to zero-dimensional schemes in both affine and projective spaces. We also introduce a new, general way of viewing the problems which can be solved by the algorithm: an approach which looks to be readily applicable in several areas. Implementation issues are also addressed, especially...