Mathematics, 25.11.2019 22:31, korban23

Suppose we define subtraction in zm to be the inverse of addition: (a - b) mod m = c in zm if (c + b) mod m = a. is subtraction well defined in z5? that is, for every pair a, b ∈ {0, 1, 2, 3, 4} is there a unique c ∈ {0, 1, 2, 3, 4} such that (a - b) mod 5 = c? what about in z6?

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Suppose we define subtraction in zm to be the inverse of addition: (a - b) mod m = c in zm if (c +...