RhymeZone: identity definitions

Definitions of identity:

noun: the distinct personality of an individual regarded as a persisting entity
Example: "You can lose your identity when you join the army"
noun: exact sameness
Example: "They shared an identity of interests"
noun: the individual characteristics by which a thing or person is recognized or known
Example: "Geneticists only recently discovered the identity of the gene that causes it"
noun: an operator that leaves unchanged the element on which it operates
Example: "The identity under numerical multiplication is 1"