additive group

plural additive groups

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