Definitions from Wiktionary (additive group)

▸ noun:  (mathematics) Any group, or algebraic object that can be regarded as a group, whose binary operation is called addition and denoted +; specifically:
▸ noun:  (group theory) Any (often, but not necessarily, abelian) group whose binary operation is called addition.
▸ noun:  (algebra) Any of certain algebraic objects (ring, field or vector space, etc., whose definition includes a commutative operation called addition) regarded as a group under addition.
▸ noun:  (category theory) Any group object (such as a group functor, group scheme, etc.), whose binary operation is called addition.



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