generators(Subring) -- Returns the generators of a subring as a one-row matrix.

Synopsis

• Function: generators

• Usage:

  M = gens subR

• Inputs:
  • subR, an instance of the type Subring,
• Optional inputs:
  • CoefficientRing => ..., default value null,
• Outputs:
  • M, a matrix, a one-row matrix containing the generators of subR.

Description

i1 : gndR = QQ[x,y,z];

i2 : subR = subring({x^2, y^2, z^2});

i3 : gens subR

o3 = | x2 y2 z2 |

                1          3
o3 : Matrix gndR  <--- gndR

See also

• ambient(Subring) -- Returns the ambient ring (ring containing the generators) of a subring.
• ring(Subring) -- Returns tensor ring