Fill in the blank: Given a binary operation ∗ : A × A → A, an element e ∈ A, if it exists, is called ____ for the operation ∗, if a ∗ e = a = e ∗ a, ∀ a ∈ A.?
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Given a binary operation ∗ : A × A → A, an element e ∈ A, if it exists, is called identity for the operation ∗, if a ∗ e = a = e ∗ a, ∀ a ∈ A.?
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