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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)
Algebra > Group Theory > Group Properties >. MathWorld Contributors > Barile >. In an additive group , the additive inverse of an element is the element such that , where 0 is the additive identity of . and, in general, of any element in an abstract vector space or a module. Barile, Margherita. From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein.