The Oxford Thesaurus An A-Z Dictionary of Synonyms - equalityn.

1) parity, sameness, identity, coequality, uniformity: The equality of the two bids was very suspicious. 2) similarity, likeness, resemblance, equivalence, correspondence, conformity, congruence, similitude, analogy, comparability, comparison, coincidence: The equality between their performances is surprising. 3) impartiality, fairness, justice; egalitarianism: Surely we all deserve equality of treatment under the law.