Local ring
In abstract algebra, more specifically ring theory, local rings are certain rings that are comparatively simple, and serve to describe what is called "local behaviour", in the sense of functions defined on varieties or manifolds, or of algebraic number fields examined at a particular place, or prime. Local algebra is the branch of commutative algebra that studies commutative local rings and their modules. In practice, a commutative local ring often arises as the result of the localization of a ring at a prime ideal.
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AF+BG theoremAbelian categoryAbsolute value (algebra)Algebraic K-theoryAlgebraic number fieldAlgebraic spaceAlgebraically compact moduleAlmost ringAnalytically irreducible ringAnalytically normal ringAnalytically unramified ringArtinian ringArtin–Rees lemmaAssociated graded ringAuslander–Buchsbaum formulaAuslander–Buchsbaum theoremAzumaya algebraBass numberBook embeddingBuchsbaum ringBézout's theoremBézout domainCatenary ringCellular algebraClean ringCohen ringCohen structure theoremCohen–Macaulay ringCommutative algebraCommutative local ringCommutative ringComplete intersection ringCompletion of a ringComplex projective spaceConnected ringConnected spaceDecomposition of a moduleDedekind domainDepth (ring theory)Deviation of a local ring
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Local ring
In abstract algebra, more specifically ring theory, local rings are certain rings that are comparatively simple, and serve to describe what is called "local behaviour", in the sense of functions defined on varieties or manifolds, or of algebraic number fields examined at a particular place, or prime. Local algebra is the branch of commutative algebra that studies commutative local rings and their modules. In practice, a commutative local ring often arises as the result of the localization of a ring at a prime ideal.
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Em matemática, um anel local é ...... uês, é devido a Oscar Zariski.
@pt
En mathématiques, et plus part ...... au voisinage d'un point donné.
@fr
En Álgebra abstracta, los anil ...... s o variedades diferenciables.
@es
In abstract algebra, more spec ...... local ring is due to Zariski.
@en
In de commutatieve algebra zij ...... le ring" is van Oscar Zariski.
@nl
In matematica, in particolare ...... italiano) è dovuto a Zariski.
@it
Lokální okruh je pojem z teori ...... případě komutativních okruhů).
@cs
Pierścień lokalny – pierścień ...... si-lokalnych i noetherowskich.
@pl
Локальне кільце — кільце з оди ...... ем лишків локального кільця R.
@uk
Локальные кольца — кольца, кот ...... называется локальной алгеброй.
@ru
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Em matemática, um anel local é ...... mesmo assim não é invertível.
@pt
En mathématiques, et plus part ...... au voisinage d'un point donné.
@fr
En Álgebra abstracta, los anil ...... s o variedades diferenciables.
@es
In abstract algebra, more spec ...... on of a ring at a prime ideal.
@en
In de commutatieve algebra zij ...... le ring" is van Oscar Zariski.
@nl
In matematica, in particolare ...... italiano) è dovuto a Zariski.
@it
Lokální okruh je pojem z teori ...... případě komutativních okruhů).
@cs
Pierścień lokalny – pierścień ...... si-lokalnych i noetherowskich.
@pl
Локальне кільце — кільце з оди ...... ем лишків локального кільця R.
@uk
Локальные кольца — кольца, кот ...... называется локальной алгеброй.
@ru
label
Anel local
@pt
Anello locale
@it
Anillo local
@es
Anneau local
@fr
Local ring
@en
Loka ringo
@eo
Lokale ring
@nl
Lokaler Ring
@de
Lokální okruh
@cs
Pierścień lokalny
@pl