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undocumented {
(degreeGroup, FractionField),
}
doc ///
Key
degreeGroup
(degreeGroup, Ring)
(degreeGroup, Monoid)
(degreeGroup, PolynomialRing)
(degreeGroup, QuotientRing)
Headline
the degree group of a ring or monoid
Usage
degreeGroup A
Inputs
A:{Ring,Monoid}
Outputs
:Module -- over integers, representing a group
Description
Example
degreeGroup ZZ
degreeGroup(ZZ[])
degreeGroup(ZZ[x])
degreeGroup(ZZ[x, Degrees => {{1,2,3}}])
degreeGroup(ZZ[x,y,z, DegreeRank => 3])
degreeGroup(ZZ[x,y,z, DegreeGroup => ZZ^3])
degreeGroup(ZZ[x,y,z, DegreeGroup => ZZ^2 ++ coker(2 * id_(ZZ^3))])
SeeAlso
degree
degreeLength
degreesRing
degreesMonoid
[monoid, DegreeGroup]
///
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