socleDegrees -- lists the degrees of the socle generators

• Usage:

  L = socleDegrees M

• Inputs:
  • M, a module,
• Outputs:
  • L, a list,

i1 : R = ZZ/101[x,y,z]

o1 = R

o1 : PolynomialRing

i2 : socleDegrees(coker vars R)

o2 = {0}

o2 : List

i3 : socleDegrees(R^1/(ideal vars R)^2)

o3 = {1, 1, 1}

o3 : List

i4 : socleDegrees(R^1/(ideal(x,y,z)*ideal(x,y)))

o4 = {1, 1}

o4 : List