randomMonomial -- Choose a random monomial of given degree in a given ring

Synopsis

• Usage:

  m = randomMonomial(d,S)

• Inputs:
  • d, an integer, non-negative
  • S, a ring, polynomial ring
• Outputs:
  • m, a ring element, monomial of S

Description

i1 : setRandomSeed(currentTime())

o1 = 1611600603

i2 : kk=ZZ/101

o2 = kk

o2 : QuotientRing

i3 : S=kk[a,b,c]

o3 = S

o3 : PolynomialRing

i4 : randomMonomial(3,S)

        2
o4 = a*b

o4 : S

See also

• randomMonomialIdeal -- random monomial ideal with given degree generators
• randomSquareFreeMonomialIdeal -- random square-free monomial ideal with given degree generators