identity, personal identity, individuality -- (the distinct personality of an individual regarded as a persisting entity; "you can lose your identity when you join the army")
identity -- (the individual characteristics by which a thing or person is recognized or known; "geneticists only recently discovered the identity of the gene that causes it"; "it was too dark to determine his identity"; "she guessed the identity of his lover")
identity, identity element, identity operator -- (an operator that leaves unchanged the element on which it operates; "the identity under numerical multiplication is 1")