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Concept information

algebra > abstract algebra > algebraic structure > field > field of fractions
algebra > commutative algebra > commutative ring > integral domain > field of fractions
... > algebra > abstract algebra > algebraic structure > ring theory > ring > commutative ring > integral domain > field of fractions

Terme préférentiel

field of fractions  

Définition

  • 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.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Field_of_fractions)

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URI

http://data.loterre.fr/ark:/67375/PSR-RNQ5DV7J-2

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RDF/XML TURTLE JSON-LD Date de création 22/08/2023, dernière modification le 18/10/2024