jMult -- the j-multiplicity of an ideal

Synopsis

• Usage:

  jMult(I)

• Inputs:
  • I, an ideal,
• Outputs:
  • an integer, the j-multiplicity of I

Description

i1 : R = QQ[x,y,z]

o1 = R

o1 : PolynomialRing

i2 : I = ideal"xy,yz,zx"

o2 = ideal (x*y, y*z, x*z)

o2 : Ideal of R

i3 : elapsedTime jMult I
 -- 0.0376099 seconds elapsed

o3 = 2

i4 : elapsedTime monjMult I
 -- 0.1749 seconds elapsed

o4 = 2

i5 : elapsedTime multiplicitySequence I
 -- 0.246105 seconds elapsed

o5 = HashTable{2 => 3}
               3 => 2

o5 : HashTable

See also

• multiplicitySequence -- the multiplicity sequence of an ideal
• monjMult -- j-multiplicity of a monomial ideal