In mathematics, an additive group may be
- an abelian group, when it is written using the symbol + for its binary operation
- the underlying group under addition of a field, ring, vector space or other structure having addition as one of its operations
- a group scheme representing the underlying-additive-group functor. Mathematics is the body of Knowledge and Academic discipline that studies such concepts as Quantity, Structure, Space and An abelian group, also called a commutative group, is a group satisfying the additional requirement that the product of elements does not depend on their order (the In Mathematics, a binary operation is a calculation involving two Operands, in other words an operation whose Arity is two In Abstract algebra, a field is an Algebraic structure in which the operations of Addition, Subtraction, Multiplication and division In Mathematics, a ring is an Algebraic structure which generalizes the algebraic properties of the Integers though the rational, real In Mathematics, a vector space (or linear space) is a collection of objects (called vectors) that informally speaking may be scaled and added In Mathematics, a group scheme is a Group object in the Category of schemes. In Category theory, a branch of Mathematics, a functor is a special type of mapping between categories
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