# mathlibdocumentation

algebra.category.Group.Z_Module_equivalence

The forgetful functor from ℤ-modules to additive commutative groups is an equivalence of categories.

TODO: either use this equivalence to transport the monoidal structure from Module ℤ to Ab, or, having constructed that monoidal structure directly, show this functor is monoidal.

@[instance]

The forgetful functor from ℤ modules to AddCommGroup is full.

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@[instance]

The forgetful functor from ℤ modules to AddCommGroup is essentially surjective.

@[instance]
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