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plural additive groups

(mathematics) Any group, or algebraic object that can be regarded as a group, whose binary operation is called addition and denoted +; specifically:

(group theory) Any (often, but not necessarily, abelian) group whose binary operation is called addition. examples

(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. examples

(category theory) Any group object (such as a group functor, group scheme, etc.), whose binary operation is called addition. examples