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Computing a Groebner Basis of a given ideal intersected with x^2-x for all indeterminates x.




Please note: The function(s) explained on this page is/are using the ApCoCoAServer. You will have to start the ApCoCoAServer in order to use it/them.

This function returns the reduced Groebner basis for the given ideal intersected with the ideal generated by x^2-x for all indeterminates. If x^2-x for

all indeterminates is in the ideal (e.g. the set of zeros is a subset of {0,1}^n) this method should produce the Groebner Basis much faster!

Please be aware, that this is much more efficient if the term ordering is Lex, DegLex or DegRevLex. Otherwise, first a DegRevLex Groebner Basis is computed and then transformed with the FGLM-algorithm.

  • @param Ideal An Ideal.

  • @return The reduced Groebner Basis of the given ideal.

See also



Introduction to Groebner Basis in CoCoA

Representation of finite fields