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GaloisField -- the class of all Galois fields

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Functions and methods returning a Galois field:

  • GF(Ring) -- see GF -- make a finite field
  • GF(ZZ) -- see GF -- make a finite field
  • GF(ZZ,ZZ) -- see GF -- make a finite field

Methods that use a Galois field:

  • ambient(GaloisField) -- corresponding quotient ring
  • describe(GaloisField) -- see describe -- real description
  • dim(GaloisField) -- see dim(Ring) -- compute the Krull dimension
  • flattenRing(GaloisField) -- see flattenRing -- write a ring as a (quotient of a) polynomial ring
  • isField(GaloisField) -- see isField -- whether something is a field
  • isFinitePrimeField(GaloisField) -- see isFinitePrimeField -- whether a ring is a finite prime field
  • map(GaloisField,GaloisField) (missing documentation)
  • precision(GaloisField) -- see precision

For the programmer

The object GaloisField is a type, with ancestor classes EngineRing < Ring < Type < MutableHashTable < HashTable < Thing.


The source of this document is in Macaulay2Doc/doc_rings.m2:229:0.