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coefficientRing -- get the coefficient ring

coefficientRing R -- yields the coefficient ring of the ring R.

If R is a polynomial ring, then the coefficient ring is the base ring from which the coefficients are drawn. If R is constructed from a polynomial ring as a quotient ring or a fraction ring or a sequence of such operatinos, then the original coefficient ring is returned.

i1 : coefficientRing(ZZ/101[a][b])

      ZZ
o1 = --- [a]
     101

o1 : PolynomialRing
i2 : ultimate(coefficientRing,ZZ/101[a][b])

      ZZ
o2 = ---
     101

o2 : QuotientRing

Ways to use coefficientRing :

  • coefficientRing FractionField
  • coefficientRing GaloisField
  • coefficientRing PolynomialRing
  • coefficientRing QuotientRing
  • coefficientRing Ring

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