identities

1. the distinct personality of an individual regarded as a persisting entityExamples: "you can lose your identity when you join the army"Synonyms: identity, individuality, personal identity

2. the individual characteristics by which a thing or person is recognized or knownExamples: "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"Synonyms: identity

3. an operator that leaves unchanged the element on which it operatesExamples: "the identity under numerical multiplication is 1"Synonyms: identity, identity element, identity operator

4. exact samenessExamples: "they shared an identity of interests"Synonyms: identicalness, identity, indistinguishability