BB.TransformBBIntoGB
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Transforms a border basis into a Groebner basis.
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BB.TransformGBIntoBB
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Transforms a Groebner basis into a border basis.
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CharP.GBasisF1024
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Computing a Groebner basis of a given ideal in F_1024.
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CharP.GBasisF128
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Computing a Groebner Basis of a given ideal in F_128.
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CharP.GBasisF16
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Computing a Groebner Basis of a given ideal in F_16.
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CharP.GBasisF2
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Computing a Groebner Basis of a given ideal in F_2.
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CharP.GBasisF2048
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Computing a Groebner Basis of a given ideal in F_2048.
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CharP.GBasisF256
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Computing a Groebner Basis of a given ideal in F_256.
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CharP.GBasisF32
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Computing a Groebner Basis of a given ideal in F_32.
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CharP.GBasisF4
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Computing a Groebner Basis of a given ideal in F_4.
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CharP.GBasisF512
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Computing a Groebner Basis of a given ideal in F_512.
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CharP.GBasisF64
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Computing a Groebner Basis of a given ideal in F_64.
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CharP.GBasisF8
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Computing a Groebner Basis of a given ideal in F_8.
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CharP.GBasisModSquares
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Computing a Groebner Basis of a given ideal intersected with x^2-x for all indeterminates x.
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DA.DiffGB
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Computes a differential Groebner basis.
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FGLM.FGLM
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Performs a FGLM Groebner Basis conversion using ApCoCoAServer.
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NC.GB
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(Partial) Groebner basis of a finitely generated two-sided ideal over a free associative K-algebra.
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NC.GGB
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(Partial) Groebner basis of a finitely generated two-sided ideal in a free group ring over F2.
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NC.GHF
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Hilbert function of F2/(Gb).
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NC.GIsGB
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Checks whether a list of polynomials in a free group ring over F2 is a Groebner basis of the ideal generated by polynomials.
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NC.GReducedGB
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Reduced (partial) Groebner basis of a finitely generated two-sided ideal in a free group ring over F2.
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NC.HF
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Hilbert function of K-algebra.
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NC.Intersection
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(Partial) Groebner basis of the intersection of two finitely generated two-sided ideals over a free associative K-algebra.
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NC.IsGB
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Checks whether a list of polynomials over a free associative K-algebra is a Groebner basis of the ideal generated by polynomials.
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NC.LTIdeal
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(Partial) (two-sided) leading-term ideal of a finitely generated ideal over a free associative K-algebra.
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NC.MRGB
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(Partial) Groebner basis of a finitely generated two-sided ideal over a finitely presented monoid ring.
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NC.MRHF
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Hilbert function of K-algebra.
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NC.MRIntersection
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(Partial) Groebner basis of the intersection of two finitely generated two-sided ideals over a finitely presented monoid ring.
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NC.MRIsGB
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Checks whether a list of polynomials over a finitely presented monoid ring is a Groebner basis of the ideal generated by polynomials.
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NC.MRReducedGB
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Reduced (partial) Groebner basis of a finitely generated two-sided ideal over a finitely presented monoid ring.
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NC.ReducedGB
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Reduced (partial) Groebner basis of a finitely generated two-sided ideal over a free associative K-algebra. K-algebra.
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Weyl.Inw
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Computes the initial form of a polynomial in Weyl algebra A_n with respect to the weight vector W=(u_i,v_i).
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Weyl.WGB
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Computes the Groebner basis of an ideal I in Weyl algebra A_n.
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Weyl.WRedGB
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Computes reduced Groebner basis of a D-ideal in Weyl algebra A_n.
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Weyl.WRGB
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Reduced Groebner basis of an ideal I in Weyl algebra A_n.
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Weyl.WRGBS
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Convert a Groebner basis of an ideal in Weyl algebra A_n in to its reduced Groebner Basis using corresponding implementation in ApCoCoALib.
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