A new conception for computing gröbner basis and its applications

Details A new conception for computing gröbner basis and its applications A new conception for computing gröbner basis and its applications

2010-12-24

arxiv.org/abs/1012.5425v2

Computer Science

Symbolic Computation

22 pages

Scientific paper

This paper presents a conception for computing gr\"{o}bner basis. We convert some of gr\"{o}bner-computing algorithms, e.g., F5, extended F5 and GWV algorithms into a special type of algorithm. The new algorithm's finite termination problem can be described by equivalent conditions, so all the above algorithms can be determined when they terminate finitely. At last, a new criterion is presented. It is an improvement for the Rewritten and Signature Criterion.

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