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â¢ ADDITIVE INVERSE (noun) The noun ADDITIVE INVERSE has 1 sense: 1. (mathematics) one of a pair of numbers whose sum is zero; the additive inverse of -5 is +5. Familiarity information: ADDITIVE INVERSE used as a noun is very rare. Dictionary entry details. â¢ ADDITIVE INVERSE (noun)
An additive group is a group where the operation is called addition and is denoted . In an additive group, the identity element is called zero, and the inverse of the element is denoted (minus ). The symbols and terminology are borrowed from the additive groups of numbers: the ring of integers , the field of rational numbers , the field of real numbers , and the field of complex numbers are all additive groups. In general, every ring and every field is an additive group.