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- Finitely-generated_abelian_group abstract "In abstract algebra, an abelian group (G,+) is called finitely generated if there exist finitely many elements x1,...,xs in G such that every x in G can be written in the form x = n1x1 + n2x2 + ... + nsxswith integers n1,...,ns. In this case, we say that the set {x1,...,xs} is a generating set of G or that x1,...,xs generate G.Clearly, every finite abelian group is finitely generated. The finitely generated abelian groups are of a rather simple structure and can be completely classified, as will be explained below.".
- Finitely-generated_abelian_group wikiPageID "58527".
- Finitely-generated_abelian_group wikiPageRevisionID "602146613".
- Finitely-generated_abelian_group hasPhotoCollection Finitely-generated_abelian_group.
- Finitely-generated_abelian_group subject Category:Abelian_group_theory.
- Finitely-generated_abelian_group subject Category:Algebraic_structures.
- Finitely-generated_abelian_group subject Category:Fundamental_theorems.
- Finitely-generated_abelian_group type AlgebraicStructures.
- Finitely-generated_abelian_group type Artifact100021939.
- Finitely-generated_abelian_group type Object100002684.
- Finitely-generated_abelian_group type PhysicalEntity100001930.
- Finitely-generated_abelian_group type Structure104341686.
- Finitely-generated_abelian_group type Whole100003553.
- Finitely-generated_abelian_group type YagoGeoEntity.
- Finitely-generated_abelian_group type YagoPermanentlyLocatedEntity.
- Finitely-generated_abelian_group comment "In abstract algebra, an abelian group (G,+) is called finitely generated if there exist finitely many elements x1,...,xs in G such that every x in G can be written in the form x = n1x1 + n2x2 + ... + nsxswith integers n1,...,ns. In this case, we say that the set {x1,...,xs} is a generating set of G or that x1,...,xs generate G.Clearly, every finite abelian group is finitely generated.".
- Finitely-generated_abelian_group label "Endlich erzeugte abelsche Gruppe".
- Finitely-generated_abelian_group label "Finitely-generated abelian group".
- Finitely-generated_abelian_group label "Groupe abélien de type fini".
- Finitely-generated_abelian_group label "Skończenie generowana grupa przemienna".
- Finitely-generated_abelian_group label "Конечнопорождённая абелева группа".
- Finitely-generated_abelian_group label "有限生成阿貝爾群".
- Finitely-generated_abelian_group sameAs Endlich_erzeugte_abelsche_Gruppe.
- Finitely-generated_abelian_group sameAs Groupe_abélien_de_type_fini.
- Finitely-generated_abelian_group sameAs 유한생성_아벨_군.
- Finitely-generated_abelian_group sameAs Skończenie_generowana_grupa_przemienna.
- Finitely-generated_abelian_group sameAs m.0f_kd.
- Finitely-generated_abelian_group sameAs Q142140.
- Finitely-generated_abelian_group sameAs Q142140.
- Finitely-generated_abelian_group sameAs Finitely-generated_abelian_group.
- Finitely-generated_abelian_group wasDerivedFrom Finitely-generated_abelian_group?oldid=602146613.
- Finitely-generated_abelian_group isPrimaryTopicOf Finitely-generated_abelian_group.