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- Module_(mathematics) abstract "In abstract algebra, the concept of a module over a ring is a generalization of the notion of vector space over a field, wherein the corresponding scalars are the elements of an arbitrary ring. Modules also generalize the notion of abelian groups, which are modules over the ring of integers.Thus, a module, like a vector space, is an additive abelian group; a product is defined between elements of the ring and elements of the module that is distributive over both parameters and is compatible with the ring multiplication. Modules are very closely related to the representation theory of groups. They are also one of the central notions of commutative algebra and homological algebra, and are used widely in algebraic geometry and algebraic topology.".
- Module_(mathematics) wikiPageExternalLink why-is-it-a-good-idea-to-study-a-ring-by-studying-its-modules.
- Module_(mathematics) wikiPageID "276410".
- Module_(mathematics) wikiPageRevisionID "600909003".
- Module_(mathematics) hasPhotoCollection Module_(mathematics).
- Module_(mathematics) id "p/m064470".
- Module_(mathematics) title "Module".
- Module_(mathematics) subject Category:Algebraic_structures.
- Module_(mathematics) subject Category:Module_theory.
- Module_(mathematics) type AlgebraicStructures.
- Module_(mathematics) type Artifact100021939.
- Module_(mathematics) type Object100002684.
- Module_(mathematics) type PhysicalEntity100001930.
- Module_(mathematics) type Structure104341686.
- Module_(mathematics) type Whole100003553.
- Module_(mathematics) type YagoGeoEntity.
- Module_(mathematics) type YagoPermanentlyLocatedEntity.
- Module_(mathematics) comment "In abstract algebra, the concept of a module over a ring is a generalization of the notion of vector space over a field, wherein the corresponding scalars are the elements of an arbitrary ring.".
- Module_(mathematics) label "Modul (Mathematik)".
- Module_(mathematics) label "Module (mathematics)".
- Module_(mathematics) label "Module sur un anneau".
- Module_(mathematics) label "Modulo (algebra)".
- Module_(mathematics) label "Moduul".
- Module_(mathematics) label "Moduł (matematyka)".
- Module_(mathematics) label "Módulo (matemática)".
- Module_(mathematics) label "Módulo (álgebra)".
- Module_(mathematics) label "Модуль над кольцом".
- Module_(mathematics) label "模".
- Module_(mathematics) label "環上の加群".
- Module_(mathematics) sameAs Modul_(matematika).
- Module_(mathematics) sameAs Modul_(Mathematik).
- Module_(mathematics) sameAs Πρότυπο_(άλγεβρα).
- Module_(mathematics) sameAs Módulo_(matemática).
- Module_(mathematics) sameAs Module_sur_un_anneau.
- Module_(mathematics) sameAs Modulo_(algebra).
- Module_(mathematics) sameAs 環上の加群.
- Module_(mathematics) sameAs 가군.
- Module_(mathematics) sameAs Moduul.
- Module_(mathematics) sameAs Moduł_(matematyka).
- Module_(mathematics) sameAs Módulo_(álgebra).
- Module_(mathematics) sameAs m.01pd2z.
- Module_(mathematics) sameAs Q18848.
- Module_(mathematics) sameAs Q18848.
- Module_(mathematics) sameAs Module_(mathematics).
- Module_(mathematics) wasDerivedFrom Module_(mathematics)?oldid=600909003.
- Module_(mathematics) isPrimaryTopicOf Module_(mathematics).