Correct the definition of the italicized term without reference to the text, if correction is needed, so

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Correct the definition of the italicized term without reference to the text, if correction is needed, so that it is in a form acceptable for publication.

A subset H of a set S is closed under a binary operation * on S if and only if ( a * b) ∈ H for all a, b ∈ S.

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