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RandomIdeals :: randomMonomialIdeal

randomMonomialIdeal -- random monomial ideal with given degree generators

Synopsis

Description

Choose a random ideal whose generators have the degrees specified by the list or squence L.

i1 : kk=ZZ/101

o1 = kk

o1 : QuotientRing
i2 : S=kk[a..e]

o2 = S

o2 : PolynomialRing
i3 : L={3,5,7}

o3 = {3, 5, 7}

o3 : List
i4 : randomMonomialIdeal(L, S)

               2       3   6
o4 = ideal (a*b , a*c*d , c e)

o4 : Ideal of S
i5 : randomMonomialIdeal(5:2, S)

                                 2
o5 = ideal (a*c, a*d, a*b, c*e, c )

o5 : Ideal of S

Caveat

The ideal is constructed degree by degree, starting from the lowest degree specified. If there are not enough monomials of the next specified degree that are not already in the ideal, the function prints a warning and returns an ideal containing all the generators of that degree.

See also

Ways to use randomMonomialIdeal :