Theorem: Let m ∈ N{1}, and let a, b ∈ Um. Show carefully that a⊗m b has a multiplicative inverse in Zm.
The set Um is closed under ⊗m; i.e., for any a, b ∈ Um, we have a ⊗m b ∈ Um.
Theorem: Let m ∈ N{1}, and let a, b ∈ Um. Show carefully that a⊗m b has a multiplicative inverse in Zm.
The set Um is closed under ⊗m; i.e., for any a, b ∈ Um, we have a ⊗m b ∈ Um.
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