Field Theory/Quotient fields
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Definition (quotient field):
Let be an integral domain. The quotient field of , often denoted , is defined to be the field of formal fractions
- Failed to parse (unknown function "\middle"): {\displaystyle \left\{\frac{a}{b} \middle| a \in R, b \in R^\times \right\}} ,
together with the multiplication and addition operations given by the formulae
- and .