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Definition of Additive group
1. Noun. (mathematics) An abelian group, when it is written using the symbol '''+''' for its binary operation ¹
2. Noun. (mathematics) The '''underlying group under addition''' of a field, ring, vector space or other structure having addition as one of its operations ¹
3. Noun. (mathematics) A group scheme representing the underlying-additive-group functor. ¹
¹ Source: wiktionary.com