generators(Ring) -- the list of generators of a ring

• Function: generators

• Usage:

  generators R

  gens R

• Inputs:
  • R, a ring
• Optional inputs:
  • CoefficientRing => a ring, default value null, the coefficient ring over which to provide the generators of R, if different from the most recent one
• Outputs:
  • a list, of generators

i1 : A = QQ[x,y];

i2 : gens A

o2 = {x, y}

o2 : List

i3 : kk = toField(QQ[t]/(t^3-t-1));

i4 : B = kk[x,y,z];

i5 : generators B

o5 = {x, y, z}

o5 : List

i6 : generators(B, CoefficientRing => QQ)

o6 = {x, y, z, t}

o6 : List