Let ∗ 𝑑𝑒𝑓𝑖𝑛𝑒 𝑜𝑛 ℤ. Determine whether (ℤ,∗) is a group by letting 𝑥 ∗ 𝑦 = 𝑥𝑦 where
𝑥, 𝑦 ∈ ℤ.
Mathbot Says...
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Let ∗ 𝑑𝑒𝑓𝑖𝑛𝑒 𝑜𝑛 ℤ. Determine whether (ℤ,∗) is a group by letting 𝑥 ∗ 𝑦 = 𝑥𝑦 where
𝑥, 𝑦 ∈ ℤ.
I wasn't able to parse your question, but the HE.NET team is hard at work making me smarter.