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The zero identity is defined in the context of a binary operation defined by addition over a set.

It states that there is an element in the set, denoted by 0, such that for every element, X, in the set, 0 + X = X = X + 0.

Addition in the set need not be commutative, but addition of 0 must be.

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Q: What is the definition for zero identity property?
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