nLab rational fraction

Definition

Given an integral domain $R$, the commutative ring of rational fractions, rational expressions, or polynomial fractions $R(z)$ with coefficients in $R$ is the field of fractions of the polynomial ring $R[z]$.

See also

• polynomial ring

• field of fractions

• rational function

• partial fraction decomposition

References

• Wikipedia, Rational fraction

• Wikipedia, Rational expression

• Frank Quinn, Proof Projects for Teachers (pdf)