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PolynomialRing -- the class of all ordered monoid rings

The type PolynomialRing is a member of the class Type. Each object of class PolynomialRing is called a polynomial ring. Each polynomial ring is also a member of class EngineRing.

More general types (whose methods may also apply) :

  • EngineRing -- the class of rings handled by the engine
  • Ring -- the class of all rings
  • Type -- the class of all types
  • MutableHashTable -- the class of all mutable hash tables
  • HashTable -- the class of all hash tables
  • Every element of a polynomial ring is also a RingElement.

    See also:

  • polynomial rings
  • Functions and methods returning a a polynomial ring :

  • degreesRing PolynomialRing
  • degreesRing ZZ
  • Ring [...] -- the standard way to make a polynomial ring
  • Ring OrderedMonoid -- make a polynomial ring
  • Methods for using a polynomial ring :

  • allGenerators PolynomialRing
  • ambient PolynomialRing
  • char PolynomialRing
  • codim PolynomialRing
  • coefficientRing PolynomialRing
  • degreeLength PolynomialRing
  • dim PolynomialRing
  • expression PolynomialRing
  • generators PolynomialRing
  • hilbertSeries PolynomialRing
  • isAffineRing PolynomialRing
  • isHomogeneous PolynomialRing
  • isPolynomialRing PolynomialRing
  • net PolynomialRing
  • newCoordinateSystem(PolynomialRing,Matrix)
  • numgens PolynomialRing
  • options PolynomialRing
  • PolynomialRing ** PolynomialRing
  • PolynomialRing ** QuotientRing
  • PolynomialRing _ List
  • presentation PolynomialRing
  • presentation(PolynomialRing,PolynomialRing)
  • presentation(PolynomialRing,QuotientRing)
  • presentation(QuotientRing,PolynomialRing)
  • QuotientRing ** PolynomialRing
  • tensor(PolynomialRing,PolynomialRing)
  • tensor(PolynomialRing,QuotientRing)
  • tensor(QuotientRing,PolynomialRing)
  • tex PolynomialRing
  • texMath PolynomialRing
  • toExternalString PolynomialRing
  • toString PolynomialRing

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