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Miura :: add

add -- A method for computing the reduced ideal of J*K

Synopsis

Description

The function add computes the reduced ideal of multiplication of two integral ideals

i1 : R=pR(GF 13,{x,y},{2,3})

o1 = R

o1 : PolynomialRing
i2 : I=qR(R,y^2-x^3-7*x)

o2 = I

o2 : QuotientRing
i3 : J=ideal(x,y)

o3 = ideal (x, y)

o3 : Ideal of I
i4 : K=ideal(x-2,y-3)

o4 = ideal (x - 2, y - 3)

o4 : Ideal of I
i5 : add(J,K)

o5 = ideal (x + 3, y + 2)

o5 : Ideal of I
i6 : L=J*K

             2                            3
o6 = ideal (x  - 2x, x*y - 3x, x*y - 2y, x  - 3y - 6x)

o6 : Ideal of I
i7 : reduced(L)

o7 = ideal (x + 3, y + 2)

o7 : Ideal of I