internalDegreeIndices -- for a ring, returns the degree-coordinates of its coefficient ring

Synopsis

• Usage:

  internalDegreeIndices Q

• Inputs:
  • Q, a ring, with some coefficient ring R
• Outputs:
  • a list, given by {(degreeLength Q) - (degreeLength R), ..., (degreeLength Q) - 1}

Description

i1 : R = QQ[x,y]

o1 = R

o1 : PolynomialRing

i2 : Q = R[s,t]

o2 = Q

o2 : PolynomialRing

i3 : degree s

o3 = {1, 0}

o3 : List

i4 : degree x

o4 = {1}

o4 : List

i5 : internal = internalDegreeIndices Q

o5 = {1}

o5 : List

i6 : (degree s)_internal

o6 = {0}

o6 : List

i7 : (degree x_Q)_internal

o7 = {1}

o7 : List

See also

• externalDegreeIndices -- for a ring Q, returns the degree-coordinates present in Q but not in its coefficient ring