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- Localization_of_a_ring abstract "In abstract algebra, localization is a systematic method of adding multiplicative inverses to a ring. Given a ring R and a subset S, one wants to construct some ring R* and ring homomorphism from R to R*, such that the image of S consists of units (invertible elements) in R*. Further one wants R* to be the 'best possible' or 'most general' way to do this – in the usual fashion this should be expressed by a universal property. The localization of R by S is usually denoted by S −1R; however other notations are used in some important special cases. If S is the set of the non zero elements of an integral domain, then the localization is the field of fractions and thus usually denoted Frac(R). If S is the complement of a prime ideal I the localization is denoted by RI, and Rf is used to denote the localization by the powers of an element f. The two latter cases are fundamental in algebraic theory and scheme theory. In particular the definition of an affine scheme is based on the properties of these two kinds of localizations.An important related process is completion: one often localizes a ring, then completes.".
- Localization_of_a_ring wikiPageExternalLink Localization.html.
- Localization_of_a_ring wikiPageID "252216".
- Localization_of_a_ring wikiPageRevisionID "603834687".
- Localization_of_a_ring hasPhotoCollection Localization_of_a_ring.
- Localization_of_a_ring subject Category:Localization_(mathematics).
- Localization_of_a_ring subject Category:Ring_theory.
- Localization_of_a_ring comment "In abstract algebra, localization is a systematic method of adding multiplicative inverses to a ring. Given a ring R and a subset S, one wants to construct some ring R* and ring homomorphism from R to R*, such that the image of S consists of units (invertible elements) in R*. Further one wants R* to be the 'best possible' or 'most general' way to do this – in the usual fashion this should be expressed by a universal property.".
- Localization_of_a_ring label "Localisation (mathématiques)".
- Localization_of_a_ring label "Localization of a ring".
- Localization_of_a_ring label "Localizzazione di un anello".
- Localization_of_a_ring label "Lokalisierung (Algebra)".
- Localization_of_a_ring label "Кольцо частных".
- Localization_of_a_ring label "環の局所化".
- Localization_of_a_ring label "環的局部化".
- Localization_of_a_ring sameAs Lokalisierung_(Algebra).
- Localization_of_a_ring sameAs Localisation_(mathématiques).
- Localization_of_a_ring sameAs Localizzazione_di_un_anello.
- Localization_of_a_ring sameAs 環の局所化.
- Localization_of_a_ring sameAs 국소화_(환론).
- Localization_of_a_ring sameAs m.01lf4q.
- Localization_of_a_ring sameAs Q289093.
- Localization_of_a_ring sameAs Q289093.
- Localization_of_a_ring wasDerivedFrom Localization_of_a_ring?oldid=603834687.
- Localization_of_a_ring isPrimaryTopicOf Localization_of_a_ring.