In an additive group , the additive inverse of an element is the element such that , where 0 is the additive identity of . Usually, the additive inverse of is denoted , as in the additive group of integers , of rationals , of real numbers , and of complex numbers , where The same notation with the minus sign is used to denote the additive inverse of a vector,

of a polynomial,

of a matrix

and, in general, of any element in an abstract vector space or a module.

See also

Additive Group, Additive Identity, Multiplicative Inverse

This entry contributed by Margherita Barile

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Cite this as:

Weisstein, Eric W., with contributions by Margherita Barile. "Additive Inverse." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/AdditiveInverse.html

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