Keywords

#field_of_fractions

Field of fractions

Abstract algebra concept

In abstract algebra, the field of fractions of an integral domain is the smallest field in which it can be embedded. The construction of the field of fractions is modeled on the relationship between the integral domain of integers and the field of rational numbers. Intuitively, it consists of ratios between integral domain elements.

Wed 17th

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Field of fractions Fraction Field (mathematics) Integral domain Rational number Rational function Field flow fractionation Localization (commutative algebra) Irreducible fraction Partial fraction decomposition
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