Antiisomorphic
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In mathematics, an antiisomorphism is a map which is an isomorphism except that it reverses something. For example if f is a map from a group G to itself, then if for all a and b in G we have f(ab) = f(b)f(a), we say that f is an antihomomorphism. If f is invertible and its inverse is also an antihomomorphism, then f is an antiisomorphism.