additive group

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

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

2. 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.

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

   additive Gruppe

regular