ring -- get the associated ring of an object

Synopsis

Usage:

ring M
Inputs:
- M, an object with a ring associated to it
Outputs:
- a ring, associated to the input object

Description

For example, ring elements, matrices, ideals, modules, chain complexes, varieties, coherent sheaves, etc., all have a base ring naturally associated to them.

i1 : R = ZZ/101[x,y,z];

i2 : ring x

o2 = R

o2 : PolynomialRing

i3 : M = matrix {{2*x, x+y},{y^3, z*y}};

             2      2
o3 : Matrix R  <-- R

i4 : ring M

o4 = R

o4 : PolynomialRing

i5 : S = QQ[x,y,z];

i6 : ring x

o6 = S

o6 : PolynomialRing

i7 : I = ideal (x*y, y*z);

o7 : Ideal of S

i8 : ring I

o8 = S

o8 : PolynomialRing

Ways to use ring :

ring(CC)
ring(ChainComplex)
ring(ChainComplexMap)
ring(GradedModule)
ring(GradedModuleMap)
ring(GroebnerBasis)
ring(Ideal)
ring(Matrix)
ring(Module)
ring(MonomialIdeal)
ring(MutableMatrix)
ring(Number)
ring(Resolution)
ring(RingElement)
ring(RR)
ring(RRi)
ring(Vector)
ring(CoherentSheaf) -- the coordinate ring of the underlying variety
ring(SheafOfRings) -- see ring(CoherentSheaf) -- the coordinate ring of the underlying variety
ring(SumOfTwists) -- see ring(CoherentSheaf) -- the coordinate ring of the underlying variety
ring(SheafMap) (missing documentation)
ring(Variety) -- coordinate ring of the variety

For the programmer

The object ring is a method function.

ring -- get the associated ring of an object

Synopsis

Description

See also

Ways to use ring :

For the programmer