The fraction field of an integral domain R consists of fractions a/b with a,b∈R and b=0, modulo the usual equivalence relation.
Ancestors (6)
Incoming links (45)
- Codimension-two extension of regular functions on a normal variety
- Discrete valuation ring
- Finiteness of integral closure in a finite separable extension
- Fractional ideal
- Generic point
- Integer-valued polynomial
- Integral closure as an intersection of valuation rings
- Integral field basis by denominator clearing
- Integral field extension forces the base domain to be a field
- Normality of a ring of invariants
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- Polynomial-ring height and dimension formula
- Principal fractional ideal
- Trace of an integral element over a normal domain
- Uniformizer
- Unique factorization in an integral domain
- Valuation domination lemma
- Valuation ring
- Valuation rings are integrally closed
- Valuative criterion for separatedness
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