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TitleA new conception for computing gröbner basis and its applications
Author(s) Lei Huang
TypeManual
AbstractThis 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.
KeywordsGrobner basis, F5, GVW, TRB, Mpair
Length22
URL http://arxiv.org/abs/1012.5425
LanguageEnglish
Year2010
MonthDecember
Translation No
Refereed No
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