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arxiv: 1006.1456 · v1 · submitted 2010-06-08 · 🧮 math.AC

F4 Algorithm For Euclidean Rings

classification 🧮 math.AC
keywords algorithmringseuclideanreductionbasisbuchbergercoefficientscomputes
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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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