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- Field_of_fractions abstract ""Quotient field" redirects here. It should not be confused with a quotient ring.In abstract algebra, the field of fractions of an integral domain is the smallest field in which it can be embedded. The elements of the field of fractions of the integral domain are equivalency classes (see the construction below) represented by with and in and . The field of fractions of is sometimes denoted by or .Mathematicians refer to this construction as the field of fractions, fraction field, field of quotients, or quotient field. All four are in common usage. The expression "quotient field" may sometimes run the risk of confusion with the quotient of a ring by an ideal, which is a quite different concept.".
- Field_of_fractions wikiPageID "25271".
- Field_of_fractions wikiPageRevisionID "606544938".
- Field_of_fractions hasPhotoCollection Field_of_fractions.
- Field_of_fractions subject Category:Commutative_algebra.
- Field_of_fractions subject Category:Field_theory.
- Field_of_fractions comment ""Quotient field" redirects here. It should not be confused with a quotient ring.In abstract algebra, the field of fractions of an integral domain is the smallest field in which it can be embedded. The elements of the field of fractions of the integral domain are equivalency classes (see the construction below) represented by with and in and .".
- Field_of_fractions label "Campo dei quozienti".
- Field_of_fractions label "Corpo de frações".
- Field_of_fractions label "Corps des fractions".
- Field_of_fractions label "Cuerpo de cocientes".
- Field_of_fractions label "Field of fractions".
- Field_of_fractions label "Quotientenkörper".
- Field_of_fractions label "Quotiëntenlichaam".
- Field_of_fractions label "分式環".
- Field_of_fractions label "商体".
- Field_of_fractions sameAs Podílové_těleso.
- Field_of_fractions sameAs Quotientenkörper.
- Field_of_fractions sameAs Cuerpo_de_cocientes.
- Field_of_fractions sameAs Corps_des_fractions.
- Field_of_fractions sameAs Campo_dei_quozienti.
- Field_of_fractions sameAs 商体.
- Field_of_fractions sameAs 분수체.
- Field_of_fractions sameAs Quotiëntenlichaam.
- Field_of_fractions sameAs Corpo_de_frações.
- Field_of_fractions sameAs m.069_k.
- Field_of_fractions sameAs Q774579.
- Field_of_fractions sameAs Q774579.
- Field_of_fractions wasDerivedFrom Field_of_fractions?oldid=606544938.
- Field_of_fractions isPrimaryTopicOf Field_of_fractions.