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Home > Category of groups

The category Grp is both complete and co-complete. The product is just the direct product while the coproduct is the free product. The zero objects in Grp are the trivial groups (consisting of just an identity element).

The category of abelian groupsIn mathematics, the category Ab has the abelian groups as objects and group homomorphisms as morphisms. This is the prototype of an abelian category. The monomorphisms in Ab are the injective group homomorphisms, the epimorphisms are the surjective group, Ab, is a full subcategory of Grp.

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Topics: Category Of Groups Grp Group Product Theory Objects Co-complete...

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