The identity element of an additive group 
,
usually denoted 0. In the additive group of vectors,
the additive identity is the zero vector 
, in the additive group of
polynomials it is the zero polynomial 
, in the additive group
of 
matrices it is the 
zero matrix.
Additive Identity
See also
Additive Group, Additive Inverse, Multiplicative Identity, Zero, Zero Matrix, Zero Polynomial, Zero VectorThis entry contributed by Margherita Barile
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Cite this as:
Barile, Margherita. "Additive Identity." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/AdditiveIdentity.html