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Zero Map


Given two additive groups (or rings, or modules, or vector spaces) A and B, the map f:A-->B such that f(a)=0 for all a in A is called the zero map. It is a homomorphism in the category of groups (or rings or modules or vector spaces).


See also

Constant Map, Identity Map

This entry contributed by Margherita Barile

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Cite this as:

Barile, Margherita. "Zero Map." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/ZeroMap.html

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