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No. The identity i of a set (of numbers), with respect to subtraction must satisfy

x - i = x for all x

and

i - x = x for all x

The first of these is true for i = 0 and so 0 is a right identity. However, there is no element of the set such that the second is true and so there is no left identity. Since both conditions are not satisfied, there is no identity.

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Q: Is there identity for subtraction
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