About: Left and right (algebra)

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In algebra, the terms left and right denote the order of a binary operation (usually, but not always, called "multiplication") in non-commutative algebraic structures.A binary operation ∗ is usually written in the infix form: s ∗ t The argument s is placed on the left side, and the argument t is on the right side. Even if the symbol of the operation is omitted, the order of s and t does matter (unless ∗ is commutative). A two-sided property is fulfilled on both sides. A one-sided property is related to one (unspecified) of two sides.

Attributes	Values
rdfs:label	Izquierda y derecha (álgebra) (es) Left and right (algebra) (en)
rdfs:comment	En álgebra, los términos izquierda y derecha denotan el orden de una operación binaria (generalmente, pero no siempre llamada multiplicación) en estructuras algebraicas no commutativas. Una operación binaria ∗ generalmente se escribe en forma de infijo como: s ∗ t El s se coloca en el lado izquierdo, y el argumento t está en el lado derecho. Incluso si se omite el símbolo de la operación, el orden de s y t no queda afectado, y no es relevante a menos que ∗ sea un operando no conmutativo. (es) In algebra, the terms left and right denote the order of a binary operation (usually, but not always, called "multiplication") in non-commutative algebraic structures.A binary operation ∗ is usually written in the infix form: s ∗ t The argument s is placed on the left side, and the argument t is on the right side. Even if the symbol of the operation is omitted, the order of s and t does matter (unless ∗ is commutative). A two-sided property is fulfilled on both sides. A one-sided property is related to one (unspecified) of two sides. (en)
dct:subject	Abstract algebra Mathematical terminology
Wikipage page ID	37520883 (xsd:integer)
Wikipage revision ID	1121309791 (xsd:integer)
Link from a Wikipage to another Wikipage	Calculus Scalar multiplication Module (mathematics) Operator associativity Non-commutative ring Algebraic structure Argument of a function Currying Unary operation Infix notation dbr:Margherita_Barile Commutative property Operator (mathematics) Orientation (geometry) Subring Morphism Multiplication Ideal (ring theory) Identity element Adjoint functors Algebra Parametric family Ring (mathematics) Ring theory Group action (mathematics) Abstract algebra Mathematical terminology Bimodule Binary operation Identity function Category theory One-sided limit Left eigenvector Invariant set
sameAs	Left and right (algebra) Left and right (algebra) Left and right (algebra) Left and right (algebra)
dbp:wikiPageUsesTemplate	dbt:Math dbt:MathWorld dbt:Mvar dbt:Other_uses dbt:Refimprove dbt:Vague dbt:Bigmath
has abstract	In algebra, the terms left and right denote the order of a binary operation (usually, but not always, called "multiplication") in non-commutative algebraic structures.A binary operation ∗ is usually written in the infix form: s ∗ t The argument s is placed on the left side, and the argument t is on the right side. Even if the symbol of the operation is omitted, the order of s and t does matter (unless ∗ is commutative). A two-sided property is fulfilled on both sides. A one-sided property is related to one (unspecified) of two sides. Although the terms are similar, left–right distinction in algebraic parlance is not related either to left and right limits in calculus, or to left and right in geometry. (en) En álgebra, los términos izquierda y derecha denotan el orden de una operación binaria (generalmente, pero no siempre llamada multiplicación) en estructuras algebraicas no commutativas. Una operación binaria ∗ generalmente se escribe en forma de infijo como: s ∗ t El s se coloca en el lado izquierdo, y el argumento t está en el lado derecho. Incluso si se omite el símbolo de la operación, el orden de s y t no queda afectado, y no es relevante a menos que ∗ sea un operando no conmutativo. Una propiedad de doble cara se cumple en ambos lados. Una propiedad unilateral está relacionada con uno (no especificado) de los dos lados. Aunque los términos son similares, la distinción de izquierda y derecha en el lenguaje algebraico no se relaciona ni con los límites por la izquierda y por la derecha en el cálculo, ni con el concepto de orientación en geometría. (es)
prov:wasDerivedFrom	wikipedia-en:Left_and_right_(algebra)?oldid=1121309791&ns=0
page length (characters) of wiki page	4564 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Left_and_right_(algebra)
is Link from a Wikipage to another Wikipage of	Row and column spaces One-sided (algebra) Elliptic geometry Identity element Okubo algebra Real coordinate space Rotation (mathematics) Near-ring Left and right Right multiplication Left-multiplication transformation Left multiplication
is Wikipage redirect of	One-sided (algebra) Right multiplication Left-multiplication transformation Left multiplication
is Wikipage disambiguates of	Left and right
is foaf:primaryTopic of	wikipedia-en:Left_and_right_(algebra)

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