Group theory MOC

Category of abelian groups

The category of abelian groups is a full subcategory of Category of groups containing abelian groups and homomorphisms between them. The category is equivalent to [[Category of left modules|]] (Abelian groups as Z-modules).

Properties

• There is a Free-forgetful adjunction between the Abelianization and the inclusion functor .
• Both the finitary product and coproduct is the Direct product of groups, hence it is an Additive category

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