Question: For A Z+, let f, g: A A A be the closed binary operations defined by f(a, b) = min {a, b}

For ϕ A⊂ Z+, let f, g: A × A → A be the closed binary operations defined by f(a, b) = min {a, b} and g(a, b) = max{a, b}. Does f have an identity element? Does g?

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