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ring -- get the associated ring of an 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

See also

Ways to use ring:

  • ring(CC)
  • ring(CCi)
  • ring(GroebnerBasis)
  • ring(Ideal)
  • ring(Matrix)
  • ring(Module)
  • ring(MutableMatrix)
  • ring(Number)
  • ring(RingElement)
  • ring(RR)
  • ring(RRi)
  • ring(Vector)
  • ring(ComplexField) (missing documentation)
  • ring(Constant) (missing documentation)
  • ring(RealField) (missing documentation)
  • ring(Resolution) (missing documentation)

For the programmer

The object ring is a method function.

The source of this document is in /build/reproducible-path/macaulay2-1.26.05+ds/M2/Macaulay2/packages/Macaulay2Doc/functions/ring-doc.m2:34:0.