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The F5 Criterion revised
F5 Criterion revised
2011/2/21
The purpose of this work is to generalize part of the theory behind Faugère’s “F5” algorithm. This is one of the fastest known algorithms to compute a Gröbner basis of a polynomial ideal I genera...
A Strong Abhyankar-Moh Theorem and Criterion of Embedded Line
Abhyankar-Moh Theorem plane polynomial curve embedded line
2011/1/21
The condition of plane polynomial curve to be a line in well-known Abhyankar-Moh Theorem is replaced by weaker ones. A criterion of embedded line is obtained from this strong theorem.