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Show that X is the identity element for this operation and X is the only invertible element in P(X) with respect to the operation ∗.
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Showing posts with label
Show that X is the identity element for this operation and X is the only invertible element in P(X) with respect to the operation ∗.
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Given a non-empty set X, consider the binary operation ∗ : P(X) × P(X) → P(X) given by A ∗ B = A ∩ B ∀ A, B in P(X), where P(X) is the power set of X. Show that X is the identity element for this operation and X is the only invertible element in P(X) with respect to the operation ∗.
