degree(DifferentialModule) -- returns the degree of the differential

Synopsis

Function: degree
Usage:

degree D
Inputs:
- D, a differential module,
Outputs:
- a list,

Description

This method returns the degree of the differential of a differential module. In more detail: since the source and target of the differential are required to be equal, we must specify the degree of the differential in order for the differential to be homogeneous; this method returns that degree.

i1 : R = QQ[x]/(x^3)

o1 = R

o1 : QuotientRing

i2 : phi = map(R^1, R^1, x^2, Degree=>2)

o2 = | x2 |

             1      1
o2 : Matrix R  <-- R

i3 : D = differentialModule phi

      1      1      1
o3 = R  <-- R  <-- R
                    
     -1     0      1

o3 : DifferentialModule

i4 : degree D == {2}

o4 = true

Ways to use this method: