next | previous | forward | backward | up | top | index | toc | Macaulay2 website
ExactCouples :: externalDegreeIndices

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

Synopsis

Description

We build a polynomial ring with coefficients in a polynomial ring

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 t

o4 = {1, 0}

o4 : List

Note that the generators of Q have two degrees: an "internal" degree coming from R and an "external" degree coming from Q proper.

i5 : external = externalDegreeIndices Q

o5 = {0}

o5 : List
i6 : (degree s)_external

o6 = {1}

o6 : List

See also

Ways to use externalDegreeIndices:

For the programmer

The object externalDegreeIndices is a method function.