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Solving Detachability Problem for the Polynomial Ring by Signature-based Groebner Basis Algorithms

Signature-based algorithms are a popular kind of algorithms for computing Groebner basis, including the famous F5 algorithm, F5C, extended F5, G2V and the GVW algorithm. In this paper, an efficient method is proposed to solve the detachability problem. The new method only uses the outputs of signature-based algorithms, and no extra Groebner basis computations are needed. When a Groebner basis is obtained by signature-based algorithms, the detachability problem can be settled in polynomial time.

preprint2011arXivOpen access
Yao SunDingkang Wang
Symbolic Computation
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Open access2 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Yao SunDingkang Wang

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