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- Algebraic_structure abstract "In mathematics, and more specifically in abstract algebra, the term algebraic structure generally refers to a set (called carrier set or underlying set) with one or more finitary operations defined on it.Examples of algebraic structures include groups, rings, fields, and lattices. More complex structures can be defined by introducing multiple operations, different underlying sets, or by altering the defining axioms. Examples of more complex algebraic structures include vector spaces, modules, and algebras.The properties of specific algebraic structures are studied in abstract algebra. The general theory of algebraic structures has been formalized in universal algebra. Category theory is used to study the relationships between two or more classes of algebraic structures, often of different kinds. For example, Galois theory studies the connection between certain fields and groups, algebraic structures of two different kinds.In a slight abuse of notation, the word "structure" can also refer only to the operations on a structure, and not the underlying set itself. For example, a phrase "we have defined a ring structure (a structure of ring) on the set " means that we have defined ring operations on the set . For another example, the group can be seen as a set that is equipped with an algebraic structure, namely the operation .".
- Algebraic_structure wikiPageExternalLink doku.php.
- Algebraic_structure wikiPageExternalLink Algebra.html.
- Algebraic_structure wikiPageExternalLink examples_4.
- Algebraic_structure wikiPageExternalLink algebra.
- Algebraic_structure wikiPageExternalLink ualg.html.
- Algebraic_structure wikiPageID "106364".
- Algebraic_structure wikiPageRevisionID "604970064".
- Algebraic_structure hasPhotoCollection Algebraic_structure.
- Algebraic_structure subject Category:Abstract_algebra.
- Algebraic_structure subject Category:Algebraic_structures.
- Algebraic_structure subject Category:Mathematical_structures.
- Algebraic_structure type AlgebraicStructures.
- Algebraic_structure type Artifact100021939.
- Algebraic_structure type MathematicalStructures.
- Algebraic_structure type Object100002684.
- Algebraic_structure type PhysicalEntity100001930.
- Algebraic_structure type Structure104341686.
- Algebraic_structure type Whole100003553.
- Algebraic_structure type YagoGeoEntity.
- Algebraic_structure type YagoPermanentlyLocatedEntity.
- Algebraic_structure comment "In mathematics, and more specifically in abstract algebra, the term algebraic structure generally refers to a set (called carrier set or underlying set) with one or more finitary operations defined on it.Examples of algebraic structures include groups, rings, fields, and lattices. More complex structures can be defined by introducing multiple operations, different underlying sets, or by altering the defining axioms.".
- Algebraic_structure label "Algebra ogólna".
- Algebraic_structure label "Algebraic structure".
- Algebraic_structure label "Algebraische Struktur".
- Algebraic_structure label "Algebraïsche structuur".
- Algebraic_structure label "Estructura algebraica".
- Algebraic_structure label "Estrutura algébrica".
- Algebraic_structure label "Structure algébrique".
- Algebraic_structure label "Struttura algebrica".
- Algebraic_structure label "Алгебраическая система".
- Algebraic_structure label "بنية جبرية".
- Algebraic_structure label "代数的構造".
- Algebraic_structure label "代数结构".
- Algebraic_structure sameAs Algebraická_struktura.
- Algebraic_structure sameAs Algebraische_Struktur.
- Algebraic_structure sameAs Estructura_algebraica.
- Algebraic_structure sameAs Egitura_aljebraiko.
- Algebraic_structure sameAs Structure_algébrique.
- Algebraic_structure sameAs Struttura_algebrica.
- Algebraic_structure sameAs 代数的構造.
- Algebraic_structure sameAs 대수적_구조.
- Algebraic_structure sameAs Algebraïsche_structuur.
- Algebraic_structure sameAs Algebra_ogólna.
- Algebraic_structure sameAs Estrutura_algébrica.
- Algebraic_structure sameAs m.0qml0.
- Algebraic_structure sameAs Q205464.
- Algebraic_structure sameAs Q205464.
- Algebraic_structure sameAs Algebraic_structure.
- Algebraic_structure wasDerivedFrom Algebraic_structure?oldid=604970064.
- Algebraic_structure isPrimaryTopicOf Algebraic_structure.