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 binary operation * on a set S is associative if and only if, for all a, b, c ∈ S, we have (b * c) *a= b * (c * a).
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