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

Synopsis

i1 : A = QQ[x,y];

i2 : gens A

o2 = {x, y}

o2 : List

If the coefficient ring has variables, then allGenerators gives the list of all of these, whereas generators gives only the newest variables.

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 : allGenerators B

o6 = {x, y, z, t}

o6 : List