additive group

noun4

1. •
   Any group, or algebraic object that can be regarded as a group, whose binary operation is called addition and denoted +.
2. •
   Any (often, but not necessarily, abelian) group whose binary operation is called addition.
3. •
   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.
4. •
   Any group object (such as a group functor, group scheme, etc.), whose binary operation is called addition.