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RandomIdeals :: randomIdeal

randomIdeal -- randomIdeal made from a given set of monomials

Synopsis

Description

This function composes m with a random map from a free module with degrees specified by L to the source of m.

i1 : kk=ZZ/101

o1 = kk

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

o2 = S

o2 : PolynomialRing
i3 : L={3,3,4,6}

o3 = {3, 3, 4, 6}

o3 : List
i4 : m = matrix{{a^3,b^4+c^4,d^5}}

o4 = | a3 b4+c4 d5 |

             1       3
o4 : Matrix S  <--- S
i5 : I=randomIdeal(L,m)

             3   4    4     5        5        5      6     5
o5 = ideal (a , b  + c , a*d  + 42b*d  - 27c*d  + 41d  - 2d e)

o5 : Ideal of S

See also

Ways to use randomIdeal :