F4 Algorithm For Euclidean Rings

Details F4 Algorithm For Euclidean Rings F4 Algorithm For Euclidean Rings

2010-06-08

arxiv.org/abs/1006.1456v1

Mathematics

Commutative Algebra

Scientific paper

This short note is the generalization of Faugere F4-algorithm for polynomial
rings with coefficients in Euclidean rings. This algorithm computes
successively a Groebner basis replacing the reduction of one single
s-polynomial in Buchberger's algorithm by the simultaneous reduction of several
polynomials.

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